[Cpp-Programming] problem during runtime

hi
there is a problem of finding the factorial of no upto 100 now we
don't have any variable to store that amount of data
so i'm considering an array of 200 elements inwhich each element
contains the digits of final ans
for example 720 will be stored as a[0]=0 a[1]=2 a[2]=7
given below is it's program but it is not giving the correct ans
after 10
help me if u can find any bug in this program

#include<iostream>
using namespace std;
int main()
{
cout<<"enter the no of test cases:"<<endl;
int t;
int num;
cin>>t;
int a[200]; //array to accomodate the digits of the
factorial
for(int i=0;i<t;i++) //this loop will run for all the
test cases
{
a[0]=1; //initialising the array with
a[0]=1 and rest all the elements 0
for(int i=1;i<=199;i++)
{
a[i]=0;
}
int temp=0;
int m=1; //carry the no. of elements in
the array occupied during factorial computation
cout<<"enter the no"<<endl;
cin>>num; // the no. of which we have to
find the factorial
for(int j=1;j<=num;j++)
{
for(int k=0;;k++)
{
int x=a[k]*j+temp;
a[k]=x%10;
temp=x/10;
if(temp==0 && a[k+1]==0) break;

if(a[k+1]==0)m++;
}
}
for(int i=m-1;i>=0;i--)
{
cout<<a[i];
}
cout<<endl;
}
system("pause");
}

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