题意:给出a,b,问有多少种长方形满足面积为a,最短边>=b? 首先简单讲一下唯一分解定理. 唯一分解定理:任何一个自然数N,都可以满足:,pi是质数. 且N的正因子个数为(1+a1)*(1+a2)*(1+a3)*.......*(1+an). 看了网络上很多人写的题解,普遍的做法是先找出N的所有正因子n,(n/2)就是在不考虑最短边>=b时所有存在的长方形,现在考虑最短边>=b,只需要减去所有能整除a且小于b的因子即可. 具体写法: 1.先预处理素数 2.用唯一分解定理求出N的所有因子…

Aladdin and the Flying Carpet (LightOJ - 1341)[简单数论][算术基本定理][分解质因数](未完成) 标签:入门讲座题解 数论 题目描述 It's said that Aladdin had to solve seven mysteries before getting the Magical Lamp which summons a powerful Genie. Here we are concerned about the first myste…

http://lightoj.com/volume_showproblem.php?problem=1341 题目大意: 给你矩形的面积(矩形的边长都是正整数),让你求最小的边大于等于b的矩形的个数. 什么叫唯一分解定理:算术基本定理可表述为:任何一个大于1的自然数 N,如果N不为质数,那么N可以唯一分解成有限个质数的乘积N=P1a1P2a2P3a3......Pnan,这里P1<P2<P3......<Pn均为质数,其中指数ai是正整数.这样的分解称为 N 的标准分解式 我们求出n的因…

题目链接: https://vjudge.net/problem/LightOJ-1341 题目描述: 问有几种边长为整数的矩形面积等于a,且矩形的短边不小于b 算数基本定理的知识点:https://baike.baidu.com/item/%E7%AE%97%E6%9C%AF%E5%9F%BA%E6%9C%AC%E5%AE%9A%E7%90%86/10920095?fr=aladdin #include<cstdio> #include<vector> #include<c…

题意: 就是求a的因数中大于b的有几对 解析: 先把素数打表 运用算术基本定理 求出a的所有因数的个数 然后减去小于b的因数的个数 代码如下: #include <iostream> #include <cstdio> #include <sstream> #include <cstring> #include <map> #include <set> #include <vector> #include <stac…

Aladdin and the Flying Carpet Time Limit:3000MS     Memory Limit:32768KB     64bit IO Format:%lld & %llu Submit Status Practice LightOJ 1341 Appoint description:  System Crawler  (2016-07-08) Description It's said that Aladdin had to solve seven myst…

唯一分解定理 先分解面积,然后除2,再减去面积%长度==0的情况,注意毯子不能是正方形 #include<map> #include<set> #include<cmath> #include<queue> #include<stack> #include<vector> #include<cstdio> #include<cassert> #include<iomanip> #include<…

http://lightoj.com/volume_showproblem.php?problem=1341 Aladdin and the Flying Carpet Time Limit:3000MS     Memory Limit:32768KB     64bit IO Format:%lld & %llu Submit Status Practice LightOJ 1341 Description It's said that Aladdin had to solve seven…

题目链接:https://vjudge.net/problem/LightOJ-1341 1341 - Aladdin and the Flying Carpet    PDF (English) Statistics Forum Time Limit: 3 second(s) Memory Limit: 32 MB It's said that Aladdin had to solve seven mysteries before getting the Magical Lamp which…

Aladdin and the Flying Carpet https://cn.vjudge.net/contest/288520#problem/C It's said that Aladdin had to solve seven mysteries before getting the Magical Lamp which summons a powerful Genie. Here we are concerned about the first mystery. Aladdin wa…