Cod sursa(job #927554)

Utilizator vercasAlexandru Mihai Maftei vercas Data 25 martie 2013 21:04:36
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.84 kb
#include <cstdio>

using namespace std;

int T, res;

void Euclid2(int a, int b, int &x, int &y)
{
    if (b == 0)
    {
        res = a;
        x = 1;
        y = 0;
    }
    else
    {
        int x0, y0;

        Euclid2(b, a % b, x0, y0);

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

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

    scanf("%d", &T);

    int a, b, c, x, y;

    for (int i = 0; i < T; i++)
    {
        scanf("%d %d %d", &a, &b, &c);
        Euclid2(a, b, x, y);

        if (c % res)
            printf("0 0\n");
        else
            printf("%d %d\n", x * (c / res), y * (c / res));
        //  x si y sunt determinate pentru ax + by = d
        //  Deci inmultim ecuatia cu c/d pentru a ajunge la c.
    }

    return 0;
}