Cod sursa(job #2901959)

Utilizator raul41917raul rotar raul41917 Data 14 mai 2022 22:42:33
Problema Algoritmul lui Euclid extins Scor 40
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.83 kb
#include <iostream>
#include <fstream>
using namespace std;
ifstream fi("euclid3.in");
ofstream fo("euclid3.out");
int T;
int cmmdc(int a,int b)
{
    if(b==0)
        return a;
    else
        return cmmdc(b,a%b);
}
void euclidExtins(int a,int b,int &x,int &y,int r)
{
    if(b==0)
    {
        x=r;
        y=0;
    }else
    {
        int x0,y0;
        euclidExtins(b,a%b,x0,y0,r);
        x=y0;
        y=x0-(a/b)*y0;
    }
}
int main()
{
    fi>>T;
    for(int test=1;test<=T;test++)
    {
        int a,b,c;
        fi>>a>>b>>c;
        int d=cmmdc(a,b);
        if(c%d!=0)
            fo<<0<<" "<<0<<"\n";
        else
        {
            a=a*c/d;
            b=b*c/d;
            int x,y;
            euclidExtins(a,b,x,y,c/d);
            fo<<x<<" "<<y<<"\n";
        }
    }
    return 0;
}