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:
What is the value of the first triangle number to have over five hundred divisors?
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
Let us list the factors of the first seven triangle numbers:1: 1We can see that 28 is the first triangle number to have over five divisors.
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
What is the value of the first triangle number to have over five hundred divisors?
Solution :
#include<iostream> using namespace std; #include<math.h> #include<stdio.h> #include<time.h> #include<stdlib.h> long long int calculate(long long int i) { long long int sum=0,n; for( n=1;n<=i;n++) sum=sum+n; return sum; } int main() { int divisor; long long int num,i=1,j; double s; while(1) { divisor=0; num=calculate(i); for(j=1;j<sqrt((double)num);j++) if(num%j==0) divisor++; divisor*=2; s=sqrt((double)num); if(s*s==num) divisor++; if(divisor>500) break; i++; } cout<<"\nAnswer:"<<num; printf("\nEXECUTION TIME = %f\n",clock()/(float)CLK_TCK); system("pause"); return 0; }
No comments:
Post a Comment