Distinct powers Problem 29 Project Euler

Consider all integer combinations of a^b for 2 ≤ a ≤ 5 and 2 ≤ b ≤ 5:

2²=4, 2³=8, 2⁴=16, 2⁵=32
3²=9, 3³=27, 3⁴=81, 3⁵=243
4²=16, 4³=64, 4⁴=256, 4⁵=1024
5²=25, 5³=125, 5⁴=625, 5⁵=3125

If they are then placed in numerical order, with any repeats removed, we get the following sequence of 15 distinct terms:

4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125

How many distinct terms are in the sequence generated by a^b for 2 ≤ a ≤ 100 and 2 ≤ b ≤ 100?

SOLUTION

#include<stdio.h>
main()
{
    int res=9801;
    int a,b,x;
    for(a=2;a<=100;a++)
    {
        float p=2;
        int i=2;
        while(p>=2)
        {

             p=pow(a,1.0/i);
            int k=p;
            if(k==p){res=res-(98/i);}

            i++;
        }



    }
    res=res+2;//As there will be two numbers which wont be there
printf("%d",res);

}

TIME TAKEN:

9ms

ANSWER:

9183