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#include <iostream>
#include <fstream>
using namespace std;
int p, n, k, i, j,f[1001], v[1001], x[1001], z[1001],s[10001];
int exp(int x, int p)
{
int prod = p;
int s = 0;
while (prod <= x)
{
s+=x/prod;
prod *= p;
}
return s;
}
void prod(int a[], int b)
{
int t = 0;
for(int i=1; i<=a[0]; i++)
{
a[i] = a[i]*b+t;
t = a[i]/10;
a[i]%=10;
}
while (t)
{
a[++a[0]] = t%10;
t/=10;
}
}
int main ()
{
ifstream fin ("factoriale.in");
ofstream fout("factoriale.out");
fin>>n>>k;
for (i=1; i<=n; i++)
fin>>x[i];
for (i=2; i<=110; i++)
if (f[i] == 0)
{
v[++p] = i;
for (j=i+i; j<=110; j+=i)
f[j] = 1;
}
for (i=1; i<=n; i++)
for (j=1; j<=p; j++)
z[j] += exp(x[i], v[j]);
s[0] = s[1] = 1;
for (i=1; i<=p; i++)
{
if (z[i] == 0)
break;
while (z[i]%k != 0)
{
prod(s, v[i]);
z[i]++;
}
}
for(i=s[0]; i>=1; i--)
fout<<s[i];
return 0;
}