Cod sursa(job #3358340)

Utilizator Radulescu_BiancaRadulescu Bianca-Larisa Radulescu_Bianca Data 16 iunie 2026 13:23:45
Problema Algoritmul lui Euclid extins Scor 100
Compilator c-64 Status done
Runda Arhiva educationala Marime 1.31 kb
#include <stdio.h>
#include <stdlib.h>

long long cmmdc_extins(long long a, long long b, long long *x, long long *y) {
    long long x0 = 1, x1 = 0;
    long long y0 = 0, y1 = 1;
    long long r0 = a, r1 = b;

    while (r1 != 0) {
        long long q = r0 / r1;

        long long tmpr = r0 % r1;
        r0 = r1;
        r1 = tmpr;

        long long tmpx = x0 - q * x1;
        x0 = x1;
        x1 = tmpx;

        long long tmpy = y0 - q * y1;
        y0 = y1;
        y1 = tmpy;
    }

    *x = x0;
    *y = y0;
    return r0;
}

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

    if (fin == NULL || fout == NULL) {
        return 0;
    }

    int T;
    if (fscanf(fin, "%d", &T) == 1) {
        while (T--) {
            long long A, B, C;
            if (fscanf(fin, "%lld %lld %lld", &A, &B, &C) == 3) {
                long long x, y;
                long long d = cmmdc_extins(A, B, &x, &y);

                if (C % d != 0) {
                    fprintf(fout, "0 0\n");
                } else {
                    x *= (C / d);
                    y *= (C / d);
                    fprintf(fout, "%lld %lld\n", x, y);
                }
            }
        }
    }

    fclose(fin);
    fclose(fout);
    return 0;
}