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 gcd(int a, int b){ return a%b ? gcd(b, a%b) : b; }
int lcm(int a, int b){ return a/gcd(a,b)*b; }

int main(){
int a,b;
while(cin>>a>>b){
cout<<gcd(a,b)<<" "<<lcm(a,b)<<endl;
}
return 0;
}