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>
#include <iomanip>
using namespace std;

int main(){
  long long a,b,c,l;
  while(cin>>a>>b){
    l = a*b;
    while(b){
      c = a;
      a = b;
      b = c % b;
    }
    cout<<a<<" "<<l/a<<endl;
  }
}