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Legendre’s Formula in java
You can calculate the exponent of the largest power of a PrimeNumber that divides the factorial n! using Legendre's formula.
Program
import java.util.Scanner; public class LegendresFormula { static int Largestpower(int n, int p) { int ans = 0; while (n > 0) { n /= p; ans += n; } return ans; } public static void main (String[] args) { Scanner sc = new Scanner(System.in); System.out.println("Enter the n value :"); int n = sc.nextInt(); System.out.println("Enter the p value :"); int p = sc.nextInt(); int temp = n; int result = 0; while (temp > 0) { temp = temp / p; result = result + temp; } System.out.println("Largest power of "+p +" that divides "+ n+"! is :"+result); } }
Output
Enter the n value : 20 Enter the p value : 6 Largest power of 6 that divides 20! is :3
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