Thursday, April 10, 2014

Project Euler Solution using C#: Problem 12: Highly Divisible Triangular Number

Problem:

The sequence of triangle numbers is generated by adding the natural numbers.
So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first ten terms would be:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
Let us list the factors of the first seven triangle numbers:
1: 1
3: 1,3
6: 1,2,3,6
10: 1,2,5,10
15: 1,3,5,15
21: 1,3,7,21
28: 1,2,4,7,14,28
We can see that 28 is the first triangle number to have over five divisors.
What is the value of the first triangle number to have over five hundred divisors?
My Solution:

static void Main(string[] args)
{
    int length = 1;  
    bool isFound = false;
    int divCount = 500;
    while (isFound == false)
    {
        int triNum = 0;
        int factorsCount = 0;
        for (int i = 1; i <= length; i++)
        {
            triNum += i;
        }
        for (int i = 1; i <= triNum; i++)
        {
            if (triNum % i==0)
            {
                factorsCount += 1;
                if (factorsCount > divCount)
                {
                    Console.WriteLine(factorsCount);
                    Console.WriteLine(triNum);
                    isFound = true;
                    break;
                }
            }
        }
        length += 1;
    }
    Console.ReadLine();
}

Note:
You can simplifies the coding :)