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 main(){
  long long  a,b,c,A,B;
  while(cin>>a>>b){
    A=a;
    B=b;
    while(b!=0){
      c=a%b;
      a=b;
      b=c;
    }
    cout<<a<<' '<<A/a*B<<endl;
  }
  
}