如何在Java中檢查一個數字是否為醜數？
- WBOY轉載
- 2023-08-20 13:25:071324瀏覽
如果一個數的質因數只包括2、3和5，那麼它被稱為醜數。
也許某些數字具有僅有一個或兩個因子的質因數，但這些因子必須是2、3和5之一。
In this article we will see how to check if a number is an Ugly number or not by using Java programming language.
To show you some instances
Instance-1
Input number is 20.
讓我們使用醜數的邏輯來檢查一下。
Prime factors of 20 = 2, 2, 5
所以，正如你在這裡注意到的，所有的質因數只包括2、3和5中的任意一個。
Hence, 20 is an ugly number.
Instance-2
Input number is 30.
讓我們使用醜數的邏輯來檢查一下。
Prime factors of 30 = 2, 3, 5
所以，正如你在這裡注意到的，所有的質因數只包括2、3和5中的任意一個。
Hence, 30 is an ugly number.
Instance-3
Input number is 14.
讓我們使用醜數的邏輯來檢查一下。
Prime factors of 14 = 2, 7
So, as you notice here 7 is present at one of the prime factors above.
Hence, 14 is not an ugly number.
Algorithm
Step 1 − First we define a function for checking if the input number is a prime number or not.
#步驟2 - 透過靜態方法或使用者定義的方法收集使用者的輸入。
步驟 3 − 初始化循環以找到輸入數字的所有質因數。
第4步 - 找到質因數後，我們執行一個條件來檢查因子是否只包含2、3和5。
Step 5 − If the condition is true then we are printing the input number is an ugly number otherwise the input number is not an ugly number.
#Multiple Approaches
我們以不同的方法提供了解決方案。
透過使用靜態輸入值
#By Using User Defined Method
#讓我們逐一查看Java程式及其輸出。
Approach-1: By Using Static Input Value
In this approach one non−zero, positive integer value will be initialized in the program and then by using the algorithm we can check whether a number is an ugly number or not
.Example
import java.util.Scanner;
public class Main {
public static void main(String args[]) {
//declare a variable with a static value
int inputNumber = 25;
//declare a variable with boolean value
boolean check = true;
//initialise the loop for the checking of ugly number
for(int i = 2; i<=inputNumber; i++) {
// checks whether numbers only include 2,3 and 5
if(i!=2&&i!=3&&i!=5) {
// Checks if there are some other prime factors
if(inputNumber%i==0&&checkPrime(i)) {
// Sets the flag to false if there are some other prime factors
check = false;
break;
}
}
}
if(check) {
System.out.println(inputNumber+" is an ugly number");
} else {
System.out.println(inputNumber+" is Not an ugly number");
}
}
// Function that checks for prime
static boolean checkPrime(int number) {
boolean flag = true;
for(int i = 2; i<=number/2; i++) {
if(number%i==0) {
flag = false;
break;
}
}
return flag;
}
}
輸出
25 is an ugly number
Approach-2: By Using User Defined MethodIn this approach one non−
zero, positive integer value will be initialized in the program and then we will call a user defined method by passing this input number as parameter.在這個方法中，我們將使用演算法來檢查一個數字是否是一個醜數
。Example
import java.util.Scanner;
public class Main {
//initialise main method
public static void main(String[] args) {
//declare a variable with a static value
int inp = 56;
//check whether our condition is true or not in user defined method
//if true number is ugly otherwise not
if(checkUgly(inp)) {
System.out.println(inp+" is an ugly number");
} else {
System.out.println(inp+" is Not an ugly number");
}
}
// Function that checks for prime
static boolean checkPrime(int number) {
boolean flag = true;
for(int i = 2; i<=number/2; i++) {
if(number%i==0) {
flag = false;
break;
}
}
return flag;
}
//define the user defined method
//checking for ugly number
public static boolean checkUgly(int inputNumber) {
//declare a variable with boolean value
boolean check = true;
//initialise the loop for the checking of Ugly number
for(int i = 2; i<=inputNumber; i++) {
// checks whether numbers only include 2,3 and 5
if(i!=2&&i!=3&&i!=5) {
// Checks if there are some other prime factors
if(inputNumber%i==0&&checkPrime(i)) {
// Sets the flag to false if there are some other prime factors
return false;
}
}
}
return true;
}
}
輸出
56 is Not an ugly numberIn this article, we explored how to check a number whether it is an ugly number or not in Java by using different approaches.###
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