Factorial of large number (even 100!) using array

code:--

#include<iostream>
using namespace std;
int main()
{
int t;
cin>>t;
while(t--)
{
int n;
cin>>n;
int a[500]={0};
a[0]=1;
int l=1;
int carry=0,num;
for(int i=2;i<=n;++i)
{
for(int j=0;j<l;++j)
{
num=a[j]*i+carry;
a[j]=num%10;
carry=num/10;
}
while(carry)
a[l]=carry%10,++l,carry/=10;
}
for(int i=l-1;i>=0;--i)
cout<<a[i];
cout<<'\n';
}
return 0;
}