Cod sursa(job #1165207)

Utilizator darrenRares Buhai darren Data 2 aprilie 2014 16:00:24
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.71 kb
#include <cstdio>
#include <algorithm>

using namespace std;

int T;
int A, B, C;

void gcd(int a, int b, int& xn, int& yn, int& d)
{
    if (b == 0)
    {
        xn = 1;
        yn = 0;
        d = a;
        return;
    }

    gcd(b, a % b, xn, yn, d);

    int oxn = xn, oyn = yn;
    xn = oyn;
    yn = oxn - oyn * (a / b);
}

int main()
{
    freopen("euclid3.in", "r", stdin);
    freopen("euclid3.out", "w", stdout);

    scanf("%d", &T);
    while (T--)
    {
        scanf("%d %d %d", &A, &B, &C);

        int xn, yn, D;
        gcd(A, B, xn, yn, D);

        if (C % D != 0) printf("0 0\n");
        else            printf("%d %d\n", xn * (C / D), yn * (C / D));
    }
}