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Cod sursa(job #911585)
#include<fstream>
using namespace std;
long long c[50],n,k,x,y,i,p,u,m,pr,j;
int main()
{
ifstream f("frac.in");
ofstream g("frac.out");
f >> n >> k;
for (i=2;i*i<=n;i++)
if (n%i==0)
{
while (n%i==0)
n/=i;
c[++x]=i;
}
if (n!=1)
c[++x]=n;
p=1;u=(long long)1 << 61;
while (p<=u)
{
m=(p+u)/2;y=m;
for (i=1;i<(1 << x);i++)
{
pr=1;
for (j=0;j<=x;j++)
if ((i & (1 << j))>0)
pr*=-c[j+1];
y+=m/pr;
}
if (y<k)
p=m+1;
else u=m-1;
}
g << p;
return 0;
}