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{"workbook":{"problemsBrief":"{\"洛谷-P5436\":[\"缘分\",6499,\"XR-2\"],\"洛谷-P1414\":[\"又是毕业季II\",9999,null],\"洛谷-P4549\":[\"裴蜀定理\",16720,\"模板\"],\"洛谷-P1072\":[\"Hankson 的趣味题\",20992,\"NOIP2009 提高组\"],\"洛谷-P1372\":[\"又是毕业季I\",25463,null],\"洛谷-P8255\":[\"数学游戏\",4850,\"NOI Online 2022 入门组\"]}","joined":false,"groups":{}},"managingGroups":{},"author":"Mggg","updateTime":1714185510000,"title":"第四次讨论会题单:数论基础","dislikeCnt":0,"content":"# 初等数论入门\n\n[初等数论-闵嗣鹤-严士健-第四版-无尽沙砾讲解](https://www.bilibili.com/video/BV1gR4y197ks/)\n\n除了完成下面的算法题以外,请观看上面视频中前三个小结的内容:\n\n1. 整除的定义和带余除法(P1~P8)\n2. 最大公因数和辗转相除法(P9~P17)\n3. 整除的进一步性质及最小公倍数(P18~P26)\n\n并且能够证明出上面三个小结中所给出的所有命题。该训练对后续的证明十分重要。\n\n## 最大公因数与最小公倍数\n\n下面的题目按照难度由底到高排列\n\n[problem:洛谷-P1372] 橙\n[problem:洛谷-P4549] 橙\n[problem:洛谷-P5436] 橙\n[problem:洛谷-P1072] 绿\n[problem:洛谷-P8255] 蓝\n\n\n下面的题目超纲,选做\n\n[problem:洛谷-P1414] 绿","threadId":189736,"likeCnt":0,"createTime":1713108276000,"isWorkbook":true,"viewCnt":177,"openness":2,"fav":false,"id":4879,"trustable":false}