{"title":"\u4e2d\u56fd\u5270\u4f59\u5b9a\u7406","categories":["\u6574\u6570\u8ad6","\u4e2d\u56fd\u5270\u4f59\u5b9a\u7406"],"url":"https://info.atcoder.jp/entry/algorithm_lectures/chinese_remainder_theorem","provider_name":"Hatena Blog","provider_url":"https://hatena.blog","description":"1. \u6982\u8981 \u672c\u8a18\u4e8b\u3067\u306f\uff0c\u4e2d\u56fd\u5270\u4f59\u5b9a\u7406\uff08Chinese Remainder Theorem, CRT\uff09\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\uff0e\u4e2d\u56fd\u5270\u4f59\u5b9a\u7406\u306f\uff0c\u3069\u306e $2$ \u3064\u3082\u4e92\u3044\u306b\u7d20\u3067\u3042\u308b\u3088\u3046\u306a\u6b63\u6574\u6570 $m_0,m_1,\\ldots,m_{n-1}$ \u306b\u5bfe\u3057\u3066\uff0c\u5408\u540c\u5f0f $$ x\\equiv a _ 0\\pmod{m _ 0},\\quad x\\equiv a _ 1\\pmod{m _ 1},\\quad \\cdots,\\quad x\\equiv a _ {n-1}\\pmod{m _ {n-1}} $$ \u3092\u540c\u6642\u306b\u6e80\u305f\u3059\u6574\u6570 $x$ \u306e\u5b58\u5728\uff08\u304a\u3088\u3073 $m_0m_1\\cdots m_{n-1}$ \u3092\u6cd5\u3068\u3059\u308b\u4e00\u610f\u6027\uff09\u3092\u4fdd\u8a3c\u3059\u2026","author_url":"https://blog.hatena.ne.jp/atcoder/","type":"rich","height":"190","blog_title":"AtCoderInfo","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Finfo.atcoder.jp%2Fentry%2Falgorithm_lectures%2Fchinese_remainder_theorem\" title=\"\u4e2d\u56fd\u5270\u4f59\u5b9a\u7406 - AtCoderInfo\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","image_url":"https://img.atcoder.jp/aal-image-library/b1c8b8be290d00971329b70ac21e0366.png","author_name":"atcoder","width":"100%","version":"1.0","blog_url":"https://info.atcoder.jp/","published":"2026-04-10 14:41:56"}