组合数学 GCD and LCM Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 451    Accepted Submission(s): 216 Problem Description Given two positive integers G and L, could you tell me how many solutions…

GCD and LCM Time Limit: 20 Sec Memory Limit: 256 MB 题目连接 http://acm.hdu.edu.cn/showproblem.php?pid=4497 Description Given two positive integers G and L, could you tell me how many solutions of (x, y, z) there are, satisfying that gcd(x, y, z) = G and…

题目链接: https://cn.vjudge.net/problem/23709/origin 本题其实有坑 数据大小太大, 2的32次方,故而一定是取巧的算法,暴力不可能过的 思路是最大公因数的倍数是最小公倍数,又有a <= b所以可以知道 a = gcd, b = lcm AC代码如下: #include <cstdio> #define ll long long using namespace std; int main() { int T; scanf("%d&quo…

并不重要的前言 最近学习了一些数论知识,但是自己都不懂自己到底学了些什么qwq,在这里把知识一并总结起来. 也不是很难的gcd和lcm 显而易见的结论: 为什么呢? 根据唯一分解定理: a和b都可被分解为素因子的乘积,形如: 则显而易见的有一下结论: 相乘,得: 得证 几种求gcd的算法 欧几里得算法(辗转相除法) 辗转相减法(优化:stein_gcd) 欧几里得算法 基于事实: 实现: int gcd(int a, int b){ ) ? a : gcd( b , a % b) ; } 简短而…

GCD & LCM Inverse Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 9928   Accepted: 1843 Description Given two positive integers a and b, we can easily calculate the greatest common divisor (GCD) and the least common multiple (LCM) of a a…

GCD and LCM Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 40    Accepted Submission(s): 22 Problem Description Given two positive integers G and L, could you tell me how many solutions of (x,…

GCD and LCM Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65535/65535 K (Java/Others) Total Submission(s): 78 Accepted Submission(s): 43 Problem Description Given two positive integers G and L, could you tell me how many solutions of (x, y, z)…

GCD and LCM Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 2982    Accepted Submission(s): 1305 Problem Description Given two positive integers G and L, could you tell me how many solutions of…

GCD and LCM Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 3379    Accepted Submission(s): 1482 Problem Description Given two positive integers G and L, could you tell me how many solutions of…

这个题目挺不错的,看到是通化邀请赛的题目,是一个很综合的数论题目. 是这样的,给你三个数的GCD和LCM,现在要你求出这三个数有多少种可能的情况. 对于是否存在这个问题,直接看 LCM%GCD是否为0,如果不为0的话,就没有满足条件的数哦,反之一定有. 接下来问题等价于求三个数GCD为1,LCM为LCM/GCD的种类数了. 设这个商为X. 首先我们可以把X因数分解成X=(p1*x1)*(p2*x2)*……*(pn*xn): 单独拿出一个素数进行讨论,如果要设ABC分别为满足情况的三个数,那么Xa…