#include<bits/stdc++.h>

using namespace std;
typedef long long ll;
ll gcd(ll a,ll b){return b==0?a:gcd(b,a%b);}
ll lcm(ll a,ll b){return a*b/gcd(a,b);}
int main(){
    ll a,b;
    while(cin>>a>>b)
        cout<<gcd(a,b)<<' '<<lcm(a,b)<<endl;
    return 0;
}
### Prompt

Please formulate a Cpp solution to the following problem:

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

### Response

```cpp
#include<bits/stdc++.h>

using namespace std;
typedef long long ll;
ll gcd(ll a,ll b){return b==0?a:gcd(b,a%b);}
ll lcm(ll a,ll b){return a*b/gcd(a,b);}
int main(){
    ll a,b;
    while(cin>>a>>b)
        cout<<gcd(a,b)<<' '<<lcm(a,b)<<endl;
    return 0;
}
```