Cod sursa(job #3358090)

Utilizator titus.ticusanTitusTicusan titus.ticusan Data 14 iunie 2026 16:21:19
Problema Algoritmul lui Euclid extins Scor 100
Compilator c-64 Status done
Runda Arhiva educationala Marime 0.93 kb
#include <stdio.h>

long long ext_gcd(long long a, long long b, long long *x, long long *y)
{
    if (b == 0)
    {
        *x = 1;
        *y = 0;
        return a;
    }

    long long x1, y1;
    long long d = ext_gcd(b, a % b, &x1, &y1);

    *x = y1;
    *y = x1 - (a / b) * y1;

    return d;
}

int main()
{
    FILE *fin = fopen("euclid3.in", "r");
    FILE *fout = fopen("euclid3.out", "w");

    int T;
    fscanf(fin, "%d", &T);

    while (T--)
    {
        long long a, b, c;
        fscanf(fin, "%lld %lld %lld", &a, &b, &c);

        long long x, y;
        long long d = ext_gcd(a, b, &x, &y);

        if (c % d != 0)
        {
            fprintf(fout, "0 0\n");
            continue;
        }

        long long factor = c / d;

        x *= factor;
        y *= factor;

        fprintf(fout, "%lld %lld\n", x, y);
    }

    fclose(fin);
    fclose(fout);

    return 0;
}