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>

using namespace std;

int gcd(int a,int b){
return b!=0 ? gcd(b,a%b) : a;
}
int a,b;

int main()
{
    while (~scanf("%d%d",&a,&b)) {
        printf("%d %d\n",gcd(a,b),(long long)a*b/gcd(a,b));
    }
    return 0;
}

