Package g0801_0900.s0878_nth_magical_number

Class Solution

java.lang.Object

g0801_0900.s0878_nth_magical_number.Solution

public class Solution
extends Object

878 - Nth Magical Number.<p>Hard</p> <p>A positive integer is <em>magical</em> if it is divisible by either <code>a</code> or <code>b</code>.</p> <p>Given the three integers <code>n</code>, <code>a</code>, and <code>b</code>, return the <code>n^th</code> magical number. Since the answer may be very large, <strong>return it modulo</strong> <code>10⁹ + 7</code>.</p> <p><strong>Example 1:</strong></p> <p><strong>Input:</strong> n = 1, a = 2, b = 3</p> <p><strong>Output:</strong> 2</p> <p><strong>Example 2:</strong></p> <p><strong>Input:</strong> n = 4, a = 2, b = 3</p> <p><strong>Output:</strong> 6</p> <p><strong>Constraints:</strong></p> <ul> <li><code>1 <= n <= 10⁹</code></li> <li><code>2 <= a, b <= 4 * 10⁴</code></li> </ul>

Constructor Summary

Constructors

Constructor	Description
Solution()

Method Summary

Modifier and Type	Method	Description
int	nthMagicalNumber(int n, int a, int b)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

Solution

public Solution()

Method Details

nthMagicalNumber

public int nthMagicalNumber(int n,
 int a,
 int b)