Euler’s Totient Function Problem Statement

Given an integer N, your task is to determine the count of integers between 1 and N (inclusive) that are coprime to N.

Input:

The first line contains an integer 'T' denoting the number of test cases.
For each test case, the input consists of one line containing a single integer 'N'.

Output:

For each test case, output one line with a single integer representing the count of integers between 1 and N, inclusive, that are coprime to N.

Example:

If N is 9, the output should be 6 because there are six integers between 1 and 9 that are coprime to 9: 1, 2, 4, 5, 7, and 8.

Constraints:

  • 1 <= T <= 100
  • 1 <= N <= 10^9
  • Time Limit: 1 second.
Note:
You don't have to print anything. This is already handled. Implement the function to return the result.
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Euler's Totient Function calculates count of integers coprime to N between 1 and N.

  • Implement Euler's Totient Function to calculate count of coprime integers to N.

  • Use the formula: phi(N) = N * (1 - 1/p...read more

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