Project Euler - Problem 5 - Smallest multiple

p5_projecteuler.cpp

/* 
Project_5.cpp : Smallest multiple
2520 is the smallest number that can be divided by each of the numbers 
from 1 to 10 without any remainder.
What is the smallest positive number that is evenly divisible by 
all of the numbers from 1 to 20?
*/

#include <iostream>
using namespace std;

int main()
{
	bool state = true;
	int num = 1;
	while (state)
	{
		int check = 0;
		for (int i = 1; i <= 20; i++)
		{
			if (num % i == 0)
			{
				check++;
			}
			else
			{
				break;
			}
		}
		if (check == 20)
		{
			cout << "The smallest positive number that is evenly divisible by" <<
				"\nall of the numbers from 1 to 20 is: " << num << endl;
			state = false;
		}
		else
		{
			num++;
		}
	}
  
    return 0;
}