Cod sursa(job #2583353)

Utilizator Sergiu271Sergiu Sergiu271 Data 18 martie 2020 09:16:46
Problema Algoritmul lui Euclid extins Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.83 kb
#include <bits/stdc++.h>

using namespace std;
ifstream fin("euclid3.in");
ofstream fout("euclid3.out");

int t, a, b, c;

int gcd(int a, int b, int &x, int &y)
{
    if(b == 0)
    {
        x = 1;
        y = 0;
        return a;
    }
    int x0, y0, d;
    y = x0 - (a / b) * y0;
    return d;
}

int main()
{
	freopen("euclid3.in", "rt", stdin);
	freopen("euclid3.out", "wt", stdout);

	int T;
	for (scanf("%d", &T), assert( T <= 100 ); T; T--)
	{
		int A, B, C;
		scanf("%d %d %d", &A, &B, &C);

		assert( -1000000000 <= A && A <= 1000000000 );
		assert( -1000000000 <= B && B <= 1000000000 );
		assert( -2000000000 <= C && C <= 2000000000 && C != 0 );
		int D, X, Y;
		D = gcd( A, B, X, Y );

		if (C % D)
			printf("0 0\n");
		else
			printf("%d %d\n", X * (C / D), Y * (C / D));
	}

	return 0;
}