{"id":14788,"date":"2024-09-24T04:32:01","date_gmt":"2024-09-23T23:02:01","guid":{"rendered":"https:\/\/knowskit.com\/?p=14788"},"modified":"2024-09-24T04:32:04","modified_gmt":"2024-09-23T23:02:04","slug":"%e4%bb%80%e4%b9%88%e6%98%af-lcf-%e7%9a%84%e5%85%a8%e7%a7%b0","status":"publish","type":"post","link":"https:\/\/knowskit.com\/zh\/%e4%bb%80%e4%b9%88%e6%98%af-lcf-%e7%9a%84%e5%85%a8%e7%a7%b0","title":{"rendered":"LCF \u7684\u5168\u79f0\u662f\u4ec0\u4e48\uff1f"},"content":{"rendered":"<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"LCF_Least_Common_Factor\"><\/span>LCF\uff1a \u6700\u5c0f\u516c\u56e0\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h2><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_80 ez-toc-wrap-center counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">\u76ee\u5f55<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"\u5207\u6362\u76ee\u5f55\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">\u5207\u6362<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewbox=\"0 0 24 24\" version=\"1.2\" baseprofile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/knowskit.com\/zh\/%e4%bb%80%e4%b9%88%e6%98%af-lcf-%e7%9a%84%e5%85%a8%e7%a7%b0\/#LCF_Least_Common_Factor\" >LCF\uff1a \u6700\u5c0f\u516c\u56e0\u5b50<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/knowskit.com\/zh\/%e4%bb%80%e4%b9%88%e6%98%af-lcf-%e7%9a%84%e5%85%a8%e7%a7%b0\/#Why_Should_You_Care_About_LCF\" >\u4e3a\u4ec0\u4e48\u8981\u5173\u6ce8 LCF\uff1f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/knowskit.com\/zh\/%e4%bb%80%e4%b9%88%e6%98%af-lcf-%e7%9a%84%e5%85%a8%e7%a7%b0\/#LCF_in_Action_A_Tasty_Example\" >LCF \u5728\u884c\u52a8\uff1a\u7f8e\u5473\u8303\u4f8b<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/knowskit.com\/zh\/%e4%bb%80%e4%b9%88%e6%98%af-lcf-%e7%9a%84%e5%85%a8%e7%a7%b0\/#How_to_Find_LCF_Its_Not_Rocket_Science\" >\u5982\u4f55\u627e\u5230 LCF\uff1a\u8fd9\u4e0d\u662f\u706b\u7bad\u79d1\u5b66\uff01<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/knowskit.com\/zh\/%e4%bb%80%e4%b9%88%e6%98%af-lcf-%e7%9a%84%e5%85%a8%e7%a7%b0\/#LCF_vs_GCD_The_Showdown\" >LCF vs. GCD\uff1a\u5bf9\u51b3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/knowskit.com\/zh\/%e4%bb%80%e4%b9%88%e6%98%af-lcf-%e7%9a%84%e5%85%a8%e7%a7%b0\/#LCF_in_the_Digital_Age\" >\u6570\u5b57\u65f6\u4ee3\u7684 LCF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/knowskit.com\/zh\/%e4%bb%80%e4%b9%88%e6%98%af-lcf-%e7%9a%84%e5%85%a8%e7%a7%b0\/#The_LCF_Challenge_Give_it_a_Go\" >LCF \u6311\u6218\u8d5b\uff1a\u8bd5\u4e00\u8bd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/knowskit.com\/zh\/%e4%bb%80%e4%b9%88%e6%98%af-lcf-%e7%9a%84%e5%85%a8%e7%a7%b0\/#LCF_More_Than_Just_Numbers\" >LCF\uff1a\u4e0d\u4ec5\u4ec5\u662f\u6570\u5b57<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/knowskit.com\/zh\/%e4%bb%80%e4%b9%88%e6%98%af-lcf-%e7%9a%84%e5%85%a8%e7%a7%b0\/#Other_LCF_Acronyms_A_Wild_Ride_Through_Various_Fields\" >\u5176\u4ed6 LCF \u7f29\u5199\u8bcd\uff1a\u5404\u9886\u57df\u7684\u72c2\u91ce\u4e4b\u65c5<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n\n\n\n\n<p>\u6700\u5c0f\u516c\u56e0\u6570\uff08LCF\uff09\u662f \u201cLCF \u662f\u9664\u4ee5\u4e24\u4e2a\u6216\u4e24\u4e2a\u4ee5\u4e0a\u7684\u6570\u800c\u4e0d\u7559\u4f59\u6570\u7684\u6700\u5c0f\u6570\u201d\u3002\u6b64\u5916\uff0c\u5b83\u8fd8\u662f\u6570\u5b66\u4e0e\u5176\u4ed6\u5b66\u79d1\u4e4b\u95f4\u7684\u7b2c\u4e00\u9053\u7ebd\u5e26--\u5c31\u50cf\u670b\u53cb\u95f4\u7684\u6700\u5c0f\u516c\u5206\u6bcd\u4e00\u6837--\u6240\u6709\u53c2\u52a0\u670b\u53cb\u8c08\u8bdd\u7684\u5b69\u5b50\u90fd\u5fc5\u987b\u8fbe\u6210\u5171\u8bc6\uff01<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Why_Should_You_Care_About_LCF\"><\/span>\u4e3a\u4ec0\u4e48\u8981\u5173\u6ce8 LCF\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u73b0\u5728\uff0c\u4eba\u4eec\u9996\u5148\u60f3\u5230\u7684\u95ee\u9898\u53ef\u80fd\u662f\uff1a\u201c\u6211\u7a76\u7adf\u4e3a\u4ec0\u4e48\u8981\u77e5\u9053\u8fd9\u4e2a\uff1f\u201d\u6216\u8005 \u201c\u6211\u4e3a\u4ec0\u4e48\u8981\u5b66\u4e60\u8fd9\u4e2a\u6982\u5ff5\uff1f\u201d\u4f46 LCF \u65e2\u4e0d\u662f\u4e00\u672c\u5c18\u5c01\u7684\u65e7\u4e66\uff0c\u4e5f\u4e0d\u662f \u201c\u4e00\u4e2a\u4e0d\u5207\u5b9e\u9645\u7684\u6982\u5ff5\u201d\u3002\u5728\u73b0\u5b9e\u751f\u6d3b\u4e2d\uff0c\u5b83\u662f\u4e00\u4e2a\u4f60\u53ef\u80fd\u4f1a\u7ecf\u5e38\u9047\u5230\u7684\u5f3a\u5927\u5de5\u5177\u3002\u79d1\u5b66\u521b\u65b0\u5c31\u662f\u8fd9\u4e2a\u6982\u5ff5\u7684\u4e00\u4e2a\u5f88\u597d\u7684\u4f8b\u5b50\u3002\u5728\u4f60\u65e5\u5e38\u4f7f\u7528\u7684\u8bb8\u591a\u73b0\u5b9e\u5e94\u7528\u4e2d\uff0c\u4f60\u90fd\u80fd\u53d1\u73b0\u9700\u8981\u4f7f\u7528 LCF \u7684\u95ee\u9898\uff0c\u4f8b\u5982<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5728\u670b\u53cb\u4e4b\u95f4\u5206\u644a\u9910\u8d39\u3002.<\/li>\n\n\n\n<li>\u5236\u5b9a\u6d3b\u52a8\u65f6\u95f4\u8868\u3002.<\/li>\n\n\n\n<li>\u5c06\u5e97\u91cc\u7684\u5e93\u5b58\u4fdd\u6301\u5728\u5408\u9002\u7684\u6c34\u5e73\u3002.<\/li>\n\n\n\n<li>\u5f00\u53d1\u9ad8\u6548\u7684\u4ea7\u54c1\u5305\u88c5\u3002.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"LCF_in_Action_A_Tasty_Example\"><\/span>LCF \u5728\u884c\u52a8\uff1a\u7f8e\u5473\u8303\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u8f6e\u5230\u60a8\u4e86\u3002\u6bd4\u65b9\u8bf4\uff0c\u4f60\u4eec\u6b63\u5728\u4e3e\u884c\u4e00\u4e2a\u62ab\u8428\u6d3e\u5bf9\u3002\u4f60\u6709 12 \u4e2a\u670b\u53cb\u662f\u8089\u98df\u7231\u597d\u8005\uff0c18 \u4e2a\u662f\u7d20\u98df\u4e3b\u4e49\u8005\u3002\u4f60\u4f1a\u600e\u4e48\u8bf4\uff1a\u201c\u6211\u4eec\u5e94\u8be5\u70b9\u51e0\u5957\u62ab\u8428\uff0c\u8fd9\u6837\u5927\u5bb6\u90fd\u80fd\u5403\u5230\u540c\u6837\u7684\u62ab\u8428\uff0c\u800c\u4e14\u4e0d\u4f1a\u5269\u996d\uff1f\u8bf7\u7ee7\u7eed\u5f80\u4e0b\u770b\uff0c\u6211\u5c06\u5411\u60a8\u5c55\u793a\u4e00\u4e2a LCF \u8bbe\u7f6e\u573a\u666f\u7684\u4f8b\u5b50\u3002\u5982\u679c\u7ed9\u51fa\u7684\u6570\u5b57\u662f 12 \u548c 18\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u6570\u5b57\u7684 LCF \u5c31\u662f 6\u3002\u8fd9\u5c31\u610f\u5473\u7740\uff0c\u70b9\u516d\u4efd\u62ab\u8428\uff0c\u4f60\u53ef\u4ee5\u7ed9\u8089\u98df\u8005\u6bcf\u4eba\u4e24\u7247\uff0c\u7ed9\u7d20\u98df\u8005\u6bcf\u4eba\u4e09\u7247\u3002\u8fd9\u6837\uff0c\u95ee\u9898\u5c31\u89e3\u51b3\u4e86\uff0c\u7686\u5927\u6b22\u559c\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"How_to_Find_LCF_Its_Not_Rocket_Science\"><\/span>\u5982\u4f55\u627e\u5230 LCF\uff1a\u8fd9\u4e0d\u662f\u706b\u7bad\u79d1\u5b66\uff01<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u83b7\u53d6\u6700\u5c0f\u516c\u56e0\u6570\u5e76\u4e0d\u4e00\u5b9a\u8981\u50cf\u5bfb\u627e\u8ff7\u5bab\u7684\u7b54\u6848\u4e00\u6837\u56f0\u96be\u3002\u8fd9\u91cc\u6709\u4e00\u4e2a\u914d\u65b9\uff0c\u60a8\u4e0d\u59a8\u4e00\u8bd5\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5148\u6574\u7406\u6bcf\u4e2a\u6570\u5b57\u7684\u56e0\u6570<\/li>\n\n\n\n<li>\u6307\u51fa\u5171\u540c\u56e0\u7d20<\/li>\n\n\n\n<li>\u60a8\u53ef\u4ee5\u9009\u62e9\u4e0e\u516c\u56e0\u6570\u4e0b\u7684\u6240\u6709\u6570\u5b57\u4e92\u4e3a\u56e0\u679c\u7684\u6570\u5b57<\/li>\n<\/ul>\n\n\n\n<p>X \u56e0\u5b50\u662f\u4e24\u4e2a\u6570\u5b57\u4e2d\u4e0d\u53d8\u7684\u90a3\u4e2a\u3002\u74e6\u5c14\u591a\u85cf\u8eab\u662f\u4e00\u53e5\u4f17\u6240\u5468\u77e5\u7684\u53e3\u5934\u7985\uff0c\u4f46\u8fd9\u4e2a\u6bd4\u55bb\u8ba9\u5b83\u66f4\u6e05\u6670\u3001\u66f4\u6709\u7528\uff01<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"LCF_vs_GCD_The_Showdown\"><\/span>LCF vs. GCD\uff1a\u5bf9\u51b3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u5982\u679c\u7ec8\u70b9\u662f LCF\uff08\u6700\u5c0f\u516c\u56e0\u6570\uff09\u4e0e GCD\uff08\u6700\u5927\u516c\u56e0\u5b50\uff09\uff0c\u4f60\u5c31\u4f1a\u5750\u7acb\u4e0d\u5b89\uff01\u5b83\u4eec\u662f\u4e00\u56de\u4e8b\u3002\u8fd9\u5c31\u597d\u6bd4\u6709\u4e9b\u4eba\u5728\u63d0\u5230\u8fd9\u79cd\u8f6f\u996e\u6599\u65f6\u8bf4\u82cf\u6253\u6c34\uff0c\u800c\u53e6\u4e00\u4e9b\u4eba\u5219\u79f0\u4e4b\u4e3a\u6c7d\u6c34\u3002\u996e\u6599\u662f\u4e00\u6837\u7684\uff0c\u53ea\u662f\u540d\u79f0\u4e0d\u540c\u800c\u5df2\uff01<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"LCF_in_the_Digital_Age\"><\/span>\u6570\u5b57\u65f6\u4ee3\u7684 LCF<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u6570\u5b66\u4ece\u5b66\u6821\u8bfe\u7a0b\u4e2d\u7684\u4e00\u95e8\u5b66\u79d1\u53d1\u5c55\u5230\u4eca\u5929\uff0c\u5df2\u7ecf\u6709\u4e86\u957f\u8db3\u7684\u8fdb\u6b65\u3002\u6570\u5b66\u5df2\u7ecf\u8fdb\u5165\u6211\u4eec\u7684\u751f\u6d3b\uff0c\u8fd9\u6b21\u6211\u4eec\u6307\u7684\u4e0d\u4ec5\u4ec5\u662f\u6570\u5b66\uff0c\u8fd8\u6709\u903b\u8f91\u7b97\u6cd5\u3001\u5bc6\u7801\u5b66\u548c\u7f51\u7edc\u74f7\u7816\u7b49\u3002\u5728\u827a\u672f\u548c\u624b\u5de5\u827a\u9886\u57df\uff0c\u60a8\u53ef\u4ee5\u5c3d\u60c5\u53d1\u6325\u60f3\u8c61\u529b\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"The_LCF_Challenge_Give_it_a_Go\"><\/span>LCF \u6311\u6218\u8d5b\uff1a\u8bd5\u4e00\u8bd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4f60\u6234\u4e0a\u601d\u8003\u5e3d\u4e86\u5417\uff1f\u627e\u51fa\u4e00\u7ec4\u6570\u5b57\u7684 LCF \u5982 24 \u548c 36 \u600e\u4e48\u6837\uff1f\u522b\u62c5\u5fc3\uff0c\u6211\u7b49\u7740......\u592a\u68d2\u4e86\uff01\u6b63\u786e\u7b54\u6848\u662f 12\uff01\u90a3\u4e48\uff0c\u5c31\u662f\u8fd9\u6837\u3002\u4f60\u51e0\u4e4e\u5df2\u7ecf\u6210\u4e3a LCF \u4e13\u5bb6\u4e86\uff01<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"LCF_More_Than_Just_Numbers\"><\/span>LCF\uff1a\u4e0d\u4ec5\u4ec5\u662f\u6570\u5b57<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>LCF \u6307\u7684\u662f\u5c06\u6570\u636e\u6c47\u96c6\u5230\u4e00\u4e2a\u5730\u65b9\uff0c\u800c\u4e0d\u662f\u5bf9\u5176\u8fdb\u884c\u5206\u6790\uff0c\u4e5f\u53ef\u80fd\u662f\u4e00\u4e2a\u5947\u70b9\u3002\u597d\u5427\uff0c\u90a3\u4e48\uff0c\u5047\u8bbe\u6211\u4eec\u6b63\u5904\u4e8e\u4e00\u573a\u6df7\u6218\u4e4b\u4e2d\uff0c\u800c\u6211\u4eec\u6b63\u5728\u52aa\u529b\u7ef4\u6301\u548c\u5e73\u3002\u5fc5\u987b\u6062\u590d\u79e9\u5e8f\uff0c\u5426\u5219\u82e6\u96be\u5c06\u65e0\u6cd5\u907f\u514d\u3002LCF \u53ef\u4ee5\u6210\u4e3a\u4f60\u7684\u5f97\u529b\u52a9\u624b\u3002\u9664\u4e0a\u8ff0\u4e4b\u5916\uff0cLCF \u8fd8\u80fd\u4e3a\u4f60\u63d0\u4f9b\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u7684\u65b9\u6848\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Other_LCF_Acronyms_A_Wild_Ride_Through_Various_Fields\"><\/span>\u5176\u4ed6 LCF \u7f29\u5199\u8bcd\uff1a\u5404\u9886\u57df\u7684\u72c2\u91ce\u4e4b\u65c5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul 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