Cod sursa(job #3311973)

Utilizator StefanIancuIancu Stefan StefanIancu Data 25 septembrie 2025 10:02:42
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.77 kb
#include <stdio.h>
#include <assert.h>
#include <fstream>

using namespace std;

inline int gcd( int A, int B, int &X, int &Y )
{
	if (B == 0)
	{
		X = 1;
		Y = 0;
		return A;
	}

	int X0, Y0, D;
	D = gcd( B, A % B, X0, Y0 );

	X = Y0;
	Y = X0 - (A / B) * Y0;
	return D;
}

int main()
{
    ifstream fin("euclid3.in");
    ofstream fout("euclid3.out");

	int T;
	for (fin>>T, assert( T <= 100 ); T; T--)
	{
		int A, B, C;
		fin>>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)
			fout<<("0 0\n");
		else
			fout<< X * (C / D)<<" " <<Y * (C / D)<<("\n");
	}

	return 0;
}