Hamming Numers

#include <iostream>
using namespace std;

int main()
{
	unsigned n;
	cin >> n;
	int counter = 1;
	int number = 1;
	for (int i = 0; i < n; i++)
	{
		number = counter;
		if (number % 2 == 0 || number % 3 == 0 || number % 5 == 0)
		{
			if (number % 2 == 0)
			{
				do
				{
					number /= 2;
				} while (number % 2 == 0);
			}
			if (number % 3 == 0)
			{
				do
				{
					number /= 3;
				} while (number % 3 == 0);
			}
			if (number % 5 == 0)
			{
				do
				{
					number /= 5;
				} while (number % 5 == 0);
			}
		}
		if (number == 1)
		{
			cout << counter << " ";
		}
		else
		{
			--i;
		}
		counter++;
	}

}