Given a number N, find least prime factors for all numbers from 1 to N. The least prime factor of an integer N is the smallest prime number that divides it. Note : The least prime factor of all even numbers is 2. A prime number is its own least prime factor (as well as its own greatest prime factor).1 needs to be printed for 1.​
Example 1:
Input: N = 6
Output: [1, 2, 3, 2, 5, 2]
Explanation: least prime factor of 1 = 1,
least prime factor of 2 = 2,
least prime factor of 3 = 3,
least prime factor of 4 = 2,
least prime factor of 5 = 5,
least prime factor of 6 = 2.
So answer is[1, 2, 3, 2, 5, 2].
Example 2:
Input: N = 4
Output: [1, 2, 3, 2]
Explanation: least prime factor of 1 = 1,
least prime factor of 2 = 2,
least prime factor of 3 = 3,
least prime factor of 4 = 2.
So answer is[1, 2, 3, 2].
Your Task:
You dont need to read input or print anything. Complete the function leastPrimeFactor() which takes N as input parameter and returns a list of integers containing all the least prime factor of each numbers from 1 to N.
Expected Time Complexity: O(NlogN) Expected Auxiliary Space: O(N)
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Avoid using static/global variables in coding problems as your code is tested
against multiple test cases and these tend to retain their previous values.
Passing the Sample/Custom Test cases in coding problems does not guarantee the
correctness of code. On submission, your code is tested against multiple test cases
consisting of all possible corner cases and stress constraints.
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