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.â€‹
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].
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].
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)
2<= n <=103
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