Problem Statement
PROBLEM STATEMENT Every number has distinct factors. A square-free number is a number which has no factors other than 1 which are perfect squares. For example, 36 has factors: 1, 2, 3, 4, 6, 9, 12, 18, 36. Of these, 4, 9, and 36 are perfect squares, therefore 36 is not squarefree. Similarly, every number has what is called a square-free portion. The square-free portion of a number is simply the largest square-free factor of that number. A number x is a factor of y, if when y is divided by x, the remainder is 0. In the case of 36, 36 has factors 1, 2, 3, 4, 6, 9, 12, 18, 36 and is not square-free. 18 has factors 1, 2, 3, 6, 9, and 18 and is not square-free. 12 has factors 1, 2, 3, 4, 6, and 12 and is not square-free. 9 has factors 1, 3, 9 and is not square-free. 6 has factors 1, 2, 3, 6 and is square-free. Thus, the square-free portion of 36 is 6. DEFINITION Class name: Squarefree Method name: squarefree Parameters: int Returns: int The method signature is (make sure it is declared public): int squarefree(int number); Given a number, determine what its square-free portion is and return that number. TopCoder will enforce the following restrictions: * number will be between 1 and 1000000, inclusive. Examples: squarefree(10) returns 10 squarefree(36) returns 6 squarefree(100) returns 10 squarefree(101) returns 101 squarefree(5460) returns 2730
Definition
- Class:
- Squarefree
- Method:
- squarefree
- Parameters:
- int
- Returns:
- int
- Method signature:
- int squarefree(int param0)
- (be sure your method is public)
Constraints
Examples
No public sample cases were explicitly marked for this problem in the original data.