mirror of
https://github.com/TheAlgorithms/Java.git
synced 2025-07-23 20:44:39 +08:00
Change project structure to a Maven Java project + Refactor (#2816)
This commit is contained in:

committed by
GitHub

parent
8e533d2617
commit
9fb3364ccc
57
src/main/java/com/thealgorithms/maths/NthUglyNumber.java
Normal file
57
src/main/java/com/thealgorithms/maths/NthUglyNumber.java
Normal file
@ -0,0 +1,57 @@
|
||||
// Ugly numbers are numbers whose only prime factors are 2, 3 or 5. The sequence 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, … shows the first 11 ugly numbers.
|
||||
// By convention, 1 is included.
|
||||
// A program to find the nth Ugly number
|
||||
// Algorithm :
|
||||
// Initialize three-pointers two, three, and five pointing to zero.
|
||||
// Take 3 variables nm2, nm3, and nm5 to keep track of next multiple of 2,3 and 5.
|
||||
// Make an array of size n to store the ugly numbers with 1 at 0th index.
|
||||
// Initialize a variable next which stores the value of the last element in the array.
|
||||
// Run a loop n-1 times and perform steps 6,7 and 8.
|
||||
// Update the values of nm2, nm3, nm5 as ugly[two]*2, ugly[three]*3, ugly[5]*5 respectively.
|
||||
// Select the minimum value from nm2, nm3, and nm5 and increment the pointer related to it.
|
||||
// Store the minimum value in variable next and array.
|
||||
// Return next.
|
||||
package com.thealgorithms.maths;
|
||||
|
||||
import java.util.*;
|
||||
|
||||
class NthUglyNumber {
|
||||
|
||||
/* Function to get the nth ugly number*/
|
||||
public long getNthUglyNo(int n) {
|
||||
long[] ugly = new long[n];
|
||||
int two = 0, three = 0, five = 0;
|
||||
long nm2 = 2, nm3 = 3, nm5 = 5;
|
||||
long next = 1;
|
||||
|
||||
ugly[0] = 1;
|
||||
|
||||
for (int i = 1; i < n; i++) {
|
||||
next = Math.min(nm2, Math.min(nm3, nm5));
|
||||
|
||||
ugly[i] = next;
|
||||
if (next == nm2) {
|
||||
two = two + 1;
|
||||
nm2 = ugly[two] * 2;
|
||||
}
|
||||
if (next == nm3) {
|
||||
three = three + 1;
|
||||
nm3 = ugly[three] * 3;
|
||||
}
|
||||
if (next == nm5) {
|
||||
five = five + 1;
|
||||
nm5 = ugly[five] * 5;
|
||||
}
|
||||
}
|
||||
return next;
|
||||
}
|
||||
|
||||
public static void main(String[] args) {
|
||||
Scanner sc = new Scanner(System.in);
|
||||
System.out.println("Enter the value of n : ");
|
||||
int n = sc.nextInt();
|
||||
NthUglyNumber ob = new NthUglyNumber();
|
||||
long ugly = ob.getNthUglyNo(n);
|
||||
System.out.println("nth Ugly number is : " + ugly);
|
||||
}
|
||||
}
|
Reference in New Issue
Block a user