Input The first line of input consists of an integers T where 1≤T≤1000, the number of test cases. Then follow T lines, each containing four integers a, n, b, m satisfying 1≤n,m≤10e9, 0≤a<n, 0≤b<m. Also, you may assume gcd(n,m)=1.Output For each test…

Problem Description 我知道部分同学最近在看中国剩余定理,就这个定理本身,还是比较简单的: 假设m1,m2,-,mk两两互素,则下面同余方程组: x≡a1(mod m1) x≡a2(mod m2) - x≡ak(mod mk) 在0<=<m1m2-mk内有唯一解. 记Mi=M/mi(1<=i<=k),因为(Mi,mi)=1,故有二个整数pi,qi满足Mipi+miqi=1,如果记ei=Mi/pi,那么会有: ei≡0(mod mj),j!=i ei≡1(mod m…

C - Chinese remainder theorem again Time Limit:1000MS     Memory Limit:32768KB     64bit IO Format:%I64d & %I64u Description 我知道部分同学最近在看中国剩余定理,就这个定理本身,还是比较简单的: 假设m1,m2,…,mk两两互素,则下面同余方程组: x≡a1(mod m1) x≡a2(mod m2) … x≡ak(mod mk) 在0<=<m1m2…mk内有唯一解…

Chinese remainder theorem again Time Limit: 1000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 1299    Accepted Submission(s): 481 Problem Description 我知道部分同学最近在看中国剩余定理,就这个定理本身,还是比较简单的:假设m1,m2,…,mk两两互素,则下面同余方程…

我理解的中国剩余定理的含义是:给定一个数除以一系列互素的数${p_1}, \cdots ,{p_n}$的余数,那么这个数除以这组素数之积($N = {p_1} \times  \cdots  \times {p_n}$)的余数也确定了,反之亦然. 用表达式表示如下: \[\begin{array}{l}x \equiv {a_1}(\bmod {p_1})\\{\rm{     }} \vdots \\x \equiv {a_n}(\bmod {p_n})\end{array}\] 那么任何满足…

题目链接 题意 : 中文题不详述. 思路 : 由N%Mi=(Mi-a)可得(N+a)%Mi=0;要取最小的N即找Mi的最小公倍数即可. #include <cstdio> #include <cstring> #include <cmath> #include <iostream> #define LL long long using namespace std ; LL gcd(LL x,LL y) { ? x : gcd(y,x%y) ; } int m…

A prime number p≥2 is an integer which is evenly divisible by only two integers: 1 and p. A composite integer is one which is not prime. The fundamental theorem of arithmetic says that any integer x can be expressed uniquely as a set of prime factors…

Freddy practices various kinds of alternative medicine, such as homeopathy. This practice is based on the belief that successively diluting some substances in water or alcohol while shaking them thoroughly produces remedies for many diseases. This ye…

The factorial function, n! is defined thus for n a non-negative integer: 0! = 1 n! = n * (n-1)! (n > 0) We say that a divides b if there exists an integer k such that k*a = b Input The input to your program consists of several lines, each containing…

Input The first line of input contains one integer, giving the number of operations to perform. Then follow the operations, one per line, each of the form x1 y1 op x2 y2. Here, −109≤x1,y1,x2,y2<109 are integers, indicating that the operands are x1/y1…