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;
 
int gcd(int a, int b) {
  if( b == 0 ) return a;
  return gcd( b, a % b );
}
 
int main() {
  for(int a, b; cin >> a >> b; ) {
    int g = gcd(a,b);
    cout << g << " " << a / g * b << endl;
  }
}
