caioj 1153 扩展欧几里德算法(解不定方程)
模板题
注意exgcd函数要稍微记一下
#include<cstdio>
#include<cctype>
#include<algorithm>
#define REP(i, a, b) for(int i = (a); i < (b); i++)
#define _for(i, a, b) for(int i = (a); i <= (b); i++)
using namespace std;
void read(int& x)
{
int f = 1; x = 0; char ch = getchar();
while(!isdigit(ch)) { if(ch == '-1'); f = -1; ch = getchar(); }
while(isdigit(ch)) { x = x * 10 + ch - '0'; ch = getchar(); }
x *= f;
}
void exgcd(int a, int b, int& d, int& x, int& y)
{
if(!b) { d = a; x = 1; y = 0; }
else { exgcd(b, a % b, d, y, x); y -= x * (a / b); }
}
int main()
{
int a, b, c, x, y, d;
read(a), read(b), read(c);
exgcd(a, b, d, x, y);
if(c % d != 0) puts("no solution!");
else printf("%d %d\b", x * (c / d), y * (c / d));
return 0;
}