Cod sursa(job #2413922)

Utilizator ilucianIlea Lucian ilucian Data 23 aprilie 2019 20:16:49
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.99 kb
#include <fstream>

using namespace std;
ifstream fi("euclid3.in");
ofstream fo("euclid3.out");
int T;
long long a,b,c,d;
long long ma,mb;
long long x,y;

long long modul(long long x)
{
    if (x>=0)
        return x;
    else
        return -x;
}

void extins(long long a, long long b, long long &d, long long &x, long long &y)
{
    if (b==0)
    {
        d=a;
        x=1;
        y=0;
    }
    else
    {
        long long x1,y1;
        extins(b,a%b,d,x1,y1);
        x=y1;
        y=x1-(a/b)*y1;
    }
}

int main()
{
    fi>>T;
    for (int test=1;test<=T;test++)
    {
        fi>>a>>b>>c;
        ma=modul(a);
        mb=modul(b);
        extins(ma,mb,d,x,y);
        if (ma!=a)
            x=-x;
        if (mb!=b)
            y=-y;
        if (c%d!=0)
            fo<<"0 0\n";
        else
        {
            x=x*(c/d);
            y=y*(c/d);
            fo<<x<<" "<<y<<"\n";
        }
    }
    fi.close();
    fo.close();
    return 0;
}