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<bits/stdc++.h>
#define int long long
using namespace std;
 
int gcd(int a,int b){
    if(b==0)return a;
    return gcd(b,a%b);
    }
signed main(){
 int a,b;
 while(cin>>a>>b){
     int c=gcd(a,b);
     printf("%lld %lld\n",c,a*b/c);
     }
}