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;
typedef unsigned long long ll;
ll gcd(ll a,ll b)
{

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

}

