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hdu 1722--Cake

由题意推得结论:p+q-gcd(p,q);

/*
* hdu 1722--Cake
* date 2014/7/15
* state AC
*/
#include <iostream>
#include <cstdio>

using namespace std;
/*
int gcd(int x,int y)
{
    while(x!=y)
    {
        if(x>y)x=x-y;
        else y=y-x;
    }
    return x;
}
*/
int gcd(int x,int y)
{
    if(x<y)
        return gcd(y,x);
	if(y==0)
        return x;
    else return gcd(x-y,y);
}
int main()
{
    //cout << "Hello world!" << endl;
    int p,q;
    while(scanf("%d %d",&p,&q)!=EOF)
    {
        cout<<p+q-gcd(p,q)<<endl;
    }
    return 0;
}