Cod sursa(job #1535877)

Utilizator bogdan10bosBogdan Sitaru bogdan10bos Data 25 noiembrie 2015 12:21:43
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.77 kb
#include <bits/stdc++.h>

#define INF (1 << 30)
#define LLINF (1LL << 62)
#define mod 666013

using namespace std;

int T, a, b, c, d, x, y;

int gcd_extins(int a, int b, int &x, int &y)
{
    if(!b)
    {
        x = 1;
        y = 0;
        return a;
    }

    int x0, y0;
    int d = gcd_extins(b, a % b, x0, y0);

    x = y0;
    y = x0 - (a / b) * y0;
    return d;
}

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

    scanf("%d", &T);
    while(T--)
    {
        scanf("%d%d%d", &a, &b, &c);
        x = y = 0;
        d = gcd_extins(a, b, x, y);
        if(c % d != 0)
            puts("0 0");
        else
            printf("%d %d\n", x * (c / d), y * (c / d));
    }

    return 0;
}