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;
#define TYPE int

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