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c# Least prime factor of numbers till n

// C# program to print the least prime factors
// of numbers less than or equal to
// n using modified Sieve of Eratosthenes
using System;
 
class GFG
{
    public static void leastPrimeFactor(int n)
    {
        // Create a vector to store least primes.
        // Initialize all entries as 0.
        int []least_prime = new int[n+1];
 
        // We need to print 1 for 1.
        least_prime[1] = 1;
 
        for (int i = 2; i <= n; i++)
        {
            // least_prime[i] == 0
            // means it i is prime
            if (least_prime[i] == 0)
            {
                // marking the prime number
                // as its own lpf
                least_prime[i] = i;
 
                // mark it as a divisor for all its
                // multiples if not already marked
                for (int j = i*i; j <= n; j += i)
                    if (least_prime[j] == 0)
                        least_prime[j] = i;
            }
        }
 
        // print least prime factor of
        // of numbers till n
        for (int i = 1; i <= n; i++)
            Console.WriteLine("Least Prime factor of " +
                               i + ": " + least_prime[i]);
    }
     
    // Driver code
    public static void Main ()
    {
        int n = 10;
         
        // Function calling
        leastPrimeFactor(n);
    }
}
 
// This code is contributed by Nitin Mittal
Source by www.geeksforgeeks.org #
 
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Tagged: #Least #prime #factor #numbers
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