This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define iter(a) a.begin(), a.end()
#define pll pair<ll, ll>
#define pii pair<int, int>
#define mp make_pair
#define F first
#define S second
#define lsort(a) sort(iter(a))
#define eb emplace_back
#define gsort(a) sort(iter(a), greater<>());
using namespace std;
typedef long long ll;
ll R(ll a, ll b){
while(b > 1){
if(a < b) swap(a, b);
a /= b;
//cerr << a << " " << b << "\n";
}
return a;
}
vector<ll> lpd, prime;
void sieve(int n){
lpd.resize(n + 1, 1);
for(int i = 2; i <= n; i++){
if(lpd[i] == 1){
prime.eb(i);
lpd[i] = i;
}
for(ll j : prime){
if(i * j > n) break;
lpd[i * j] = j;
if(j == lpd[i]) break;
}
}
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
sieve(1000000);
int T;
cin >> T;
while(T--){
ll g, h;
cin >> g >> h;
ll a = -1, b = -1;
if(g == h){
a = b = g;
}
else if(h == 2){
a = g * 2;
b = g;
}
else if(g == h * h){
a = g * h;
b = g;
}
else{
for(ll i = 1; i <= 5000; i++){
for(ll j = 1; j <= i; j++){
if(__gcd(i, j) == 1 && R(g * i, g * j) == h){
a = g * i, b = g * j;
goto ok;
}
}
}
}
ok:;
//assert(__gcd(a, b) == g && R(a, b) == h);
cout << a << " " << b << "\n";
}
return 0;
}
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