SquareFree | Topcoder Archive

Problem Statement

A positive integer is said to be squarefree if it is divisible by no perfect square larger than 1. For example, the first few squarefree numbers are {1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 17, 19, ...}. Create a class SquareFree that contains a method getNumber, which is given an int n. The method should return the n^th smallest squarefree number. Note this is 1-indexed, so if n = 1, the method should return the smallest squarefree number.

Definition

Class:: SquareFree
Method:: getNumber
Parameters:: int
Returns:: int
Method signature:: int getNumber(int n)
(be sure your method is public)

Constraints

n will be between 1 and 1,000,000,000 inclusive.

Examples

```
1
```
```
Returns: 1
```
One is the smallest squarefree number.
```
13
```
```
Returns: 19
```
See the list of squarefree numbers given in the problem statement.
```
100
```
```
Returns: 163
```
```
1234567
```
```
Returns: 2030745
```

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