033.cpp

#include <iostream>
using namespace std;
unsigned gcd(unsigned p, unsigned q)
{
        //assume p<q
        unsigned r = q%p;
        while (r>0) {
                q=p;
                p=r;
                r = q%p;
        }
        return p;
}

int main()
{
        unsigned prod_p=1,prod_q=1;

        for (unsigned p=10;p<=99;p++)
                for (unsigned q=p+1;q<=99;q++)
                        if (
                            (p%10==q/10 && p/10*q==q%10*p) ||
                            (p/10==q%10 && p%10*q==q/10*p)
                            //(p%10*q==q%10*p && p%10!=0)
                        ) {
                                cout << p <<'/'<<q<< endl;
                                prod_p*=p;
                                prod_q*=q;
                        }

        unsigned hcf = gcd(prod_p,prod_q);
        cout << prod_q/hcf << endl;

        return 0;
}