Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

Constraints

* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50

Input

Input consists of several data sets. Each data set contains a and b separated by a single space in a line. The input terminates with EOF.

Output

For each data set, print GCD and LCM separated by a single space in a line.

Example

Input

8 6
50000000 30000000


Output

2 24
10000000 150000000
#include <iostream>

using namespace std;

typedef long long ll;
ll gcd(ll a, ll b){
  return (b > 0)? gcd(b, a %b):a ;
}
int main(){
  ll a, b;
  while(cin >> a >> b){
    ll _gcd = gcd(a, b);
    cout << _gcd << " " << a*b/_gcd << endl;
  }
  return 0;
}