Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 11435   Accepted: 3040 Description The young and very promising cryptographer Odd Even has implemented the security module of a large system with thousands of users, which is now in use in…

题意:给出一大数K(4 <= K <= 10^100)与一整数L(2 <= L <= 106),K为两个素数的乘积(The cryptographic keys are created from the product of two primes) 问构成K的最小素数是否绝对小于L,若是,则输出BAD p,p为最小素数,否则输出GOOD; 分析:从小到大枚举1~10^6内的素数p,while(p<L)时,判断K是否能被p整除,若能则证明构成K的最小素数绝对小于L,反之则大于L…

The Embarrassed Cryptographer DescriptionThe young and very promising cryptographer Odd Even has implemented the security module of a large system with thousands of users, which is now in use in his company. The cryptographic keys are created from th…

The Embarrassed Cryptographer Time Limit: 2000MS Memory Limit: 65536K Total Submissions: 13041 Accepted: 3516 Description The young and very promising cryptographer Odd Even has implemented the security module of a large system with thousands of user…

题目链接:https://cn.vjudge.net/problem/HDU-2303 题意 给一个大数K,和一个整数L,其中K是两个素数的乘积 问K的是否存在小于L的素数因子 思路 枚举素数,大数取模即可 注意大数取模代码,一开始没想到,看了别人的代码才感觉厉害 代码 #include <cstring> #include <cstdio> const int MAX=int(1e6); char a[100+5]; int b, psize=0, primes[MAX+5];…

组合数取模就是求的值,根据,和的取值范围不同,采取的方法也不一样. 下面,我们来看常见的两种取值情况(m.n在64位整数型范围内) (1)  , 此时较简单,在O(n2)可承受的情况下组合数的计算可以直接用杨辉三角递推,边做加法边取模. (2) ,   ,并且是素数 本文针对该取值范围较大又不太大的情况(2)进行讨论. 这个问题可以使用Lucas定理,定理描述: 其中 这样将组合数的求解分解为小问题的乘积,下面考虑计算C(ni, mi) %p. 已知C(n, m) mod p = n!/(m!(…

DP? Problem Description Figure 1 shows the Yang Hui Triangle. We number the row from top to bottom 0,1,2,…and the column from left to right 0,1,2,….If using C(n,k) represents the number of row n, column k. The Yang Hui Triangle has a regular pattern…

对于C(n, m) mod p.这里的n,m,p(p为素数)都很大的情况.就不能再用C(n, m) = C(n - 1,m) + C(n - 1, m - 1)的公式递推了. 这里用到Lusac定理 For non-negative integers m and n and a prime p, the following congruence relation holds: where and are the base p expansions of m and n respectively.…

题目链接:https://www.cnblogs.com/kuangbin/archive/2012/04/01/2429463.html 题意:给出大数s (s<=10100) ,L (<=106),s是两个素数的乘积,求其最小因子即这两个素数中较小者是否小于L. 思路:先通过欧筛法打表计算出106以内的素数,大概有8e4个.然后用千进制表示s,如将12345678表示成[012][345][678],用整型数组Kt表示,前面补0,这样做之后利用同余模定理计算Kt对x的模.如计算[012][…

题集链接: https://cn.vjudge.net/contest/231988 解题之前请先了解组合数取模和Lucas定理 A : FZU-2020  输出组合数C(n, m) mod p (1 <= m <= n <= 10^9, m <= 10^4, m < p < 10^9, p是素数) 由于p较大,不可以打表,直接Lucas求解 #include<iostream> using namespace std; typedef long long…