Напечатать все цифры числа N!

#include <iostream>
#include <array>
using namespace std;
int main()
{
    const size_t Size = 1001;
    array<long double, Size> factorials;
    factorials[1] = factorials[0] = 1LL;
    for (size_t i = 2; i < Size; i++)
    {
        factorials[i] = i * factorials[i - 1];
    }
    for (size_t i = 0; i < Size; i++)
    {
        cout << i << "! = " << factorials[i] << endl;
    }
    return 0;
}

#include <iostream>
using namespace std;
struct list
{
int info;
list *adr; 
};
void InitializeList(list*&, int); 
void AddtoList(list*&, int);
void PrintList(list*); 
void multiply(int, list*);
void DestroyList(list*&);
int main()
{
int n;
cout << "Enter integer number = ";
cin >> n;
n = (n < 0) ? -n : n;
list *top = NULL; 
InitializeList(top, 1);
for (int x = 2; x <= n; x++)
multiply(x, top);
cout << "Factorial from " << n << " = " << endl;
PrintList(top); 
DestroyList(top); 
return 0;
}
void InitializeList(list * &pq, int a)
{
pq = new list;
pq->adr = NULL;
pq->info = a;
}
void multiply(int x, list* node)
{
int carry = 0; 
list *prev = node;
while (node) 
{
int prod = node->info * x + carry;
node->info = prod % 10; 
carry = prod / 10; 
prev = node; 
node = node->adr; 
}
while (carry) 
{
AddtoList(prev, carry % 10); 
carry = carry / 10;
}
}
void AddtoList(list* &node, int a)
{
list* ptr = new list;
ptr->adr = NULL;
ptr->info = a;
node->adr = ptr; 
node = ptr;
}
void PrintList(list* node)
{
while (node) 
{
cout << node->info << ' ';
node = node->adr; 
}
cout << endl;
}
void DestroyList(list*& node) 
{
list* next; 
while (node) {
next = node->adr;
delete node; 
node = next; 
}
}