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){
  if (b==0) return a;
  return gcd(b,a%b);
}

int main(){
  ll a,b;
  while (cin>>a>>b){
    ll g,l;
    g=gcd(a,b);
    l=a*b/g;
    cout<<g<<" "<<l<<endl;
  }
  return 0;
}