POJ 1061 青蛙的约会 扩展欧几里得
扩展欧几里得模板套一下就A了,不过要注意刚好整除的时候,代码中有注释
#include <iostream> #include <cstdio> #include <cstring> #include <cmath> #include <algorithm> using namespace std; typedef long long ll; ll exgcd(ll a, ll b, ll&x, ll&y) { if (b == 0) { x = 1; y = 0; return a; } ll r = exgcd(b, a%b, y, x); ll t = x; y = y - a/b*t; return r; } bool modular_linear_equation(ll a, ll b, ll n) { ll x, y, x0, i; ll d = exgcd(a, n, x, y); if (b%d) { printf("Impossible\n"); return false; } x0 = x*(b/d)%n; //x0为方程的一个特解,可以为正也可以为负。题目要求的是最小的非负数 ll ans; if(x0<0) { ans=x0; for(i = 0;ans<0; i++) ans=(x0 + i*(n/d))%n; } else if(x0>0) { ans=x0; ll temp; for(i=0;ans>=0;i++) { temp=ans; ans=(x0 - i*(n/d))%n; } ans=temp; } else ans=n; //此时x0=0,但是结果一定会大于0,所以要加一个n printf("%I64d\n",ans); return true; } int main() { //freopen("in.txt","r",stdin); //freopen("out.txt","w",stdout); ll x,y,m,n,L; while(~scanf("%I64d%I64d%I64d%I64d%I64d",&x,&y,&m,&n,&L)) { ll temp1=m-n,temp2=y-x; if(temp1<0) { temp1=-1*temp1; temp2=-1*temp2; } modular_linear_equation(temp1,temp2,L); } return 0; }