#include<cstdio>
int gcd(int a,int b)
{
	if(b==0)return a;
	else return gcd(b,a%b);
}
int main()
{
	int n,m;
	while(scanf("%d%d",&n,&m)==2)
	{
		int d = gcd(n,m),ans = n/d*m;
		printf("%d %d\n",d,ans);
	}
	return 0;
} 
### Prompt

In Cpp, your task is to solve 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<cstdio>
int gcd(int a,int b)
{
	if(b==0)return a;
	else return gcd(b,a%b);
}
int main()
{
	int n,m;
	while(scanf("%d%d",&n,&m)==2)
	{
		int d = gcd(n,m),ans = n/d*m;
		printf("%d %d\n",d,ans);
	}
	return 0;
} 
```