"Cool Guys" CodeChef challenge

I was trying to solve a question on CodeChef. My code works perfectly fine in my IDE (Visual Studio here) but when I submit my code at CodeChef, it says "Time Limit Exceeded".

What the code does:

• Input T number of test cases each with one input N

• Let A and B be two numbers chosen randomly from 1,2,3...N

• Output the probability that Greatest Common Divisor of A and B equals B for each test case.

int _tmain(int argc, _TCHAR* argv[])
{
    int T;
    cin>>T;
    int tests[1000];
    for(int k=0;k>tests[k];

    for(int i=0;i<T;i++)   // the main loop that runs T times
    {
        int N=tests[i];

        int result=2*N-1;   //  the numerator of the result

        int square=N*N;   //  the denominator of the result

        for(int j=2;j<=(N/2);j++)   
        {
            result=result+(N/j)-1;
        }

        for(int w=2;w<=result;w++)  //  Loop to convert fraction into irreducible form
        {
            if(result%w==0 && square%w==0)
            {
                result=result/w;
                square=square/w;
                w--;
            }
        }

        cout<<result<<"/"<<square<<endl;
    }
    return 0;
}

How can I optimize this code of mine so that it compiles within the specified time limit? Any optimization possible whatsoever?

-
Both _tmain() and _TCHAR are Microsoft-specific and are non-portable. Just make them main() and char respectively.

-
The name T is commonly used in template statements. Even with the given explanation, it may still confuse others, especially if you end up adding templates somewhere. You could just rename this to testCases or something similar.

-
It's good to have more whitespace between operands for readability.

For instance, this:

for(int k=0;k<T;k++)

can look like this:

for (int k = 0; k < T; k++)

-
You have some not-so-useful comments:

//  Take the test cases as input

This is already obvious based on what it's doing.

// the main loop that runs T times

This is also already obvious, based on the loop statement.

int result=2*N-1;   //  the numerator of the result

int square=N*N;   //  the denominator of the result

Although not necessarily useless comments, they are an indication that those variables can be given more accurate names. It'll also help give more meaning to the very last cout statement that uses those variables.

StackExchange Code Review Q#64269, answer score: 6