Throwing Cards away

#include <iostream>
#include <list>
#include <iterator>

using namespace std;

int main()
{
    list <int> li;
    list <int> li2;
    list <int> :: iterator it;

    while(true)
    {
        int num;
        cin >> num;
        if(num == 0)
            break;
        else
        {
            for(int i = 1; i <= num; i++)
                li.push_back(i);

            int liCount = li.size();
            int take, give;
            while(liCount > 1)
            {
                take = li.front();
                li.pop_front();
                li2.push_back(take);
                give = li.front();
                li.pop_front();
                li.push_back(give);
                liCount--;
            }

            cout << "Discarded cards: ";
            for(it = li2.begin(); it != li2.end(); it++)
            {
                cout << *it;
                if(*it != li2.back())
                    cout << ", ";
            }
            cout << endl;

            it = li.begin();
            cout << "Remaining card: " << *it << endl;
        }
        li.clear();
        li2.clear();
    }

    return 0;
}