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
import java.io.*;
class Main{

    public static void main(String[] args) throws IOException{
	int gcd,lcm;
	BufferedReader br=
	    new BufferedReader (new InputStreamReader(System.in));
	String buf;
	while(true){
	    if((buf=br.readLine())==null)break;
	    if(buf.length()==0)break;
	    String[] data=buf.split(" ");
	    int[] dat =new int[2];
	    for(int i=0;i<2;i++){
		dat[i]=Integer.parseInt(data[i]);
	    }
	    int x=dat[0],y=dat[1];
	    while(true){
		if(x==y)break;
		if(x > y) x-=y;
		else y-=x;
	    }
	    lcm=x;
	    double d=(double)dat[0]*(double)dat[1];
	    d/=(double)lcm;
	    gcd=(int)d;
	    System.out.println(lcm+" "+gcd);
	}
    }
}