Cod sursa(job #2763685)

Utilizator Darius_CDarius Chitu Darius_C Data 16 iulie 2021 01:42:18
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.92 kb
// Algoritmul lui Euclid extins.cpp : This file contains the 'main' function. Program execution begins and ends there.
//

#include <iostream>
#include <fstream>
#pragma warning(disable:4996)
using namespace std;

FILE* fin, * fout;

int T;
int a, b, c, d, x, y;

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

void Read()
{
	fin = fopen("euclid3.in", "r");
	fout = fopen("euclid3.out", "w");
}

void Solve()
{
	fscanf(fin, "%d", &T);
	for (; T; T--)
	{
		fscanf(fin, "%d %d %d", &a, &b, &c);
		euclid(a, b, d, x, y);
		if (c % d == 0)
		{
			// ax + by = d -> a(nx) + b(ny) = nd = c
			fprintf(fout, "%d %d \n", (c / d) * x, (c / d) * y);
		}
		else
			fprintf(fout, "%d %d \n", 0, 0);
	}
}

int main()
{
	Read();
	Solve();
	return 0;
}