\u7ed9\u5b9a\u4e00\u4e2a\u9664\u6570\u5e8f\u5217\\(M = \\{ m_i | m_i \\in N^* \u4e14 m_i > 1, i \\in N^*\\}\\)\uff0c\u6309\u7167\u5982\u4e0b\u65b9\u5f0f\u5bf9\u6574\u6570\u503c\u6c42\u5f97\u4e00\u4e2a\u54c8\u5e0c\u7ed3\u679c\u5e8f\u5217\\( R = \\{ r_i | r_i \\in N, i \\in N^* \\}\\)\u3002\u73b0\u5728\u9700\u8981\u6839\u636e\u8fd9\u4e2a\u7ed3\u679c\u5e8f\u5217\\(R\\)\u548c\u9664\u6570\u6570\u5217\\(M\\)\u6c42\u539f\u503c\u3002<\/p>\n\n\n\n
\u6839\u636e\u54c8\u5e0c\u51fd\u6570\u7684\u7ed3\u679c\u5e8f\u5217\\(R\\)\uff0c\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u6574\u6570\u6570\u503c\\(k^*\\)\uff1a<\/p>\n\n\n\n
\\[ k^* = (\u2026\u2026(q_i \\times m_i + r_i) \\times m_{i-1} + \u2026\u2026+ r_2) \\times m_1 + r_1 \\quad (q_i = 0,\\, 0 \\le r_i \\le m_i)\\]<\/p>\n\n\n\n
\u8be5\u503c\u5373\u4e3a\u539f\u59cb\u503c\u3002<\/p>\n\n\n\n
\u5982\u679c\u77e5\u9053\u4e86\u9664\u6570\u5e8f\u5217\u548c\u4f59\u6570\u7c7b\u54c8\u5e0c\u51fd\u6570\u7684\u7ed3\u679c\uff0c\u90a3\u4e48\u5982\u4f55\u6c42\u89e3\u6ee1\u8db3\u8fd9\u6837\u7684\u6570\uff1f\u8bbe\u6574\u6570\\(k\\)\u6ee1\u8db3\u4e0a\u8ff0\u6761\u4ef6\uff0c\u90a3\u4e48\u7531\u9898\u8bbe\u53ef\u4ee5\u5f97\u5230\uff1a<\/p>\n\n\n\n
\\[ k = m_1 k_1 + r_1 = m_2 k_2 + r_2 = \u2026\u2026 = m_n k_n + r_n \\]<\/p>\n\n\n\n
\u53ef\u8bbe\uff1a<\/p>\n\n\n\n
\\[ t = \\sum \\limits_{i=1}^ n k_i = \\frac{k-r_1}{m_1}+\\frac{k-r_2}{m_2} + \u2026\u2026 + \\frac{k-r_n}{m_n} \\]<\/p>\n\n\n\n
\u53ef\u5f97\uff1a<\/p>\n\n\n\n
\\[ k \\cdot \\sum \\limits_{i=1}^n \\frac{1}{m_i} = t + \\sum \\limits_{i=1}^n \\frac{r_i}{m_i} \\quad (k_i \\in N, t \\in N)\\]<\/p>\n\n\n\n
\u7531\u4e8e\\(k, t \\)\u76f8\u4e92\u72ec\u7acb\uff0c\u53ef\u4ee4\\(k=t\\)\u3002\u5176\u5b9e\u5c31\u76f8\u5f53\u4e8e\u6c42\u89e3\u4e24\u6761\u76f4\u7ebf\\(y=x \\cdot \\sum \\limits_{i=1} ^ n \\frac{1}{m_i}\\)\u548c\\(y=x+\\sum \\limits_{i=1}^n \\frac{r_i}{m_i} \\)\u7684\u4ea4\u70b9\u3002<\/p>\n\n\n\n
\u7531\u4e8e\u4e24\u6761\u76f4\u7ebf\u7684\u659c\u7387\u4e0d\u4e00\u6837\uff0c\u6240\u4ee5\u5fc5\u5b58\u5728\u4e00\u4e2a\u4ea4\u70b9\u3002\u628a\u6c42\u5f97\u7684\u8be5\u7279\u89e3\u8bb0\u4e3a\\(B_M(R)\\)\u3002\u6ee1\u8db3\u8fd9\u6837\u6761\u4ef6\u7684\u901a\u89e3\\(k=B_M(R) + c \\cdot D \\quad (c \\in N)\\)\u3002<\/p>\n\n\n\n
\u4f8b\u5982\uff1a\u5bf9\u4e8e\u6307\u5b9a\u7684\u9664\u6570\u6570\u5217\\(M=\\{2,3,5\\}\\)\u548c\u4f59\u6570\u6570\u5217\\(R=\\{1,2,3\\}\\)\uff0c\u5219\\(B_M(R)=53\\)\u3002\u901a\u89e3\u5219\u4e3a\uff1a\\(k=53 + 30c\\)\u3002<\/p>\n\n\n\n
<\/p>\n","protected":false},"excerpt":{"rendered":"
\u7ed9\u5b9a\u4e00\u4e2a\u9664\u6570\u5e8f\u5217\uff0c\u6309\u7167\u5982\u4e0b\u65b9\u5f0f\u5bf9\u6574\u6570\u503c\u6c42\u5f97\u4e00\u4e2a\u54c8\u5e0c\u7ed3\u679c\u5e8f\u5217\u3002\u73b0\u5728\u9700\u8981\u6839\u636e\u8fd9\u4e2a\u7ed3\u679c\u5e8f\u5217\u548c\u9664\u6570\u6570\u5217\u6c42\u539f\u503c\u3002 1 \u5546 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1021,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1172","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/www.algmain.com\/index.php\/wp-json\/wp\/v2\/pages\/1172"}],"collection":[{"href":"http:\/\/www.algmain.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.algmain.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.algmain.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.algmain.com\/index.php\/wp-json\/wp\/v2\/comments?post=1172"}],"version-history":[{"count":17,"href":"http:\/\/www.algmain.com\/index.php\/wp-json\/wp\/v2\/pages\/1172\/revisions"}],"predecessor-version":[{"id":1212,"href":"http:\/\/www.algmain.com\/index.php\/wp-json\/wp\/v2\/pages\/1172\/revisions\/1212"}],"up":[{"embeddable":true,"href":"http:\/\/www.algmain.com\/index.php\/wp-json\/wp\/v2\/pages\/1021"}],"wp:attachment":[{"href":"http:\/\/www.algmain.com\/index.php\/wp-json\/wp\/v2\/media?parent=1172"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}