Factorial Trailing Zeros Problem

You are provided with a positive integer N. Your goal is to determine the smallest number whose factorial has at least N trailing zeros.

Example:

Input:
N = 1
Output:
5
Explanation:

The factorial of 5 (5!) is 120, which contains at least 1 trailing zero, making it the smallest such number.

Input:

The first line contains an integer 'T' indicating the number of test cases. Each test case consists of a single integer 'N' representing the required number of trailing zeros.

Output:

For each test case, output the smallest number whose factorial contains at least N trailing zeros. Each result should be on a new line.

Constraints:

  • 1 <= T <= 10
  • 0 <= N <= 108
  • Time Limit: 1 sec

Note:

You do not need to print anything. Just compute and return the result.
AnswerBot
4d

Find the smallest number whose factorial has at least N trailing zeros.

  • Calculate the number of 5's in the prime factorization of the factorial to determine the trailing zeros.

  • Use binary search to find...read more

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