Cod sursa(job #1320697)

Utilizator HoreaOrosHorea Oros HoreaOros Data 18 ianuarie 2015 13:06:41
Problema Algoritmul lui Euclid extins Scor 100
Compilator c Status done
Runda Arhiva educationala Marime 0.96 kb
#include <stdio.h>
#include <stdlib.h>

void euclidExtins(int a, int b, int *d, int *x, int *y)
{
    if (b == 0) {
        *d = a;
        *x = 1;
        *y = 0;
    } else {
        int x0, y0;
        euclidExtins(b, a % b, d, &x0, &y0);
        *x = y0;
        *y = x0 - (a / b) * y0;
    }
}

int cmmdc(int a, int b)
{
    if(b == 0)
        return a;
    else
        return cmmdc(b, a % b);
}

int main()
{
    FILE* f, *g;
    int T, a, b, c, i, d, x, y;

    f = freopen("euclid3.in", "r", stdin);
    g = freopen("euclid3.out", "w", stdout);

    scanf("%d", &T);
    for(i = 0; i < T; i++)
    {
        scanf("%d %d %d", &a, &b, &c);
        d = cmmdc(a, b);
        if(c % d != 0)
            printf("0 0\n");
        else{
            euclidExtins(a, b, &d, &x, &y);
            x *= (c / d);
            y *= (c / d);
            printf("%d %d\n", x, y);
        }
    }

    fclose(f);
    fclose(g);
    return 0;
}