Java处理大数幂运算问题

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英文:

Java power of number calculation problem with big numbers

问题

我对Java还不熟悉,当我尝试在没有使用Math.pow方法的情况下找出一个数的幂时,我意识到答案不正确。我想知道为什么?

public class Main() {

int x = 1919;
int y = x*x*x*x;

public static void main(String[] args) {

System.out.println(y);
}
}

>输出:2043765249

但通常答案是:13561255518721

英文:

I am new to Java and when I was trying to find power of number without Math.pow method I realized the answer was not right. And I want to learn why?

public class Main() {

int x = 1919;
int y = x*x*x*x;

public static void main(String[] args) {

System.out.println(y);
}
}

>Output: 2043765249

But normally answer is: 13561255518721

答案1

得分: 3

你正在使用 int 类型来存储答案,导致发生数值溢出。

请使用 double、long 或 BigInteger 类型来存储 y,这样你将得到正确的答案。

public class Main {

    public static void main(String[] args) {
        System.out.println(Math.pow(1919, 4));
        System.out.println((double) 1919 * 1919 * 1919 * 1919);
    }
}

两种输出结果相同。

英文:

You're using an int for the answer, you're getting a numeric overflow.

Use double or long or BigInteger for y and you'll get the right answer.

public class Main {

    public static void main(String[] args) {
        System.out.println(Math.pow(1919, 4));
        System.out.println((double) 1919*1919*1919*1919);
    }
}

Outputs the same value.

答案2

得分: 3

如果您逐步进行,您会发现在某一时刻值变为负数,这是因为达到了 Integer.MAX_VALUE,即 2^31 -1

int x = 1919;
int y = 1;
for (int i = 0; i < 4; i++) {
    y *= x;
    System.out.println(i + "> " + y);
}

0> 1919
1> 3682561
2> -1523100033
3> 2043765249

您可以使用更大的类型,如 doubleBigInteger

double x = 1919;

double y = x * x * x * x;
System.out.println(y); // 1.3561255518721E13

BigInteger b = BigInteger.valueOf(1919).pow(4);
System.out.println(b); // 13561255518721
英文:

If you go step by step, you'll see that at a moment the value becomes negative, that's because you reach Integer.MAX_VALUE which is 2^31 -1

int x = 1919;
int y = 1;
for (int i = 0; i &lt; 4; i++) {
    y *= x;
    System.out.println(i + &quot;&gt; &quot; + y);
}

0&gt; 1919
1&gt; 3682561
2&gt; -1523100033
3&gt; 2043765249

You may use a bigger type like double or BigInteger

double x = 1919;

double y = x * x * x * x;
System.out.println(y); // 1.3561255518721E13

BigInteger b = BigInteger.valueOf(1919).pow(4);
System.out.println(b); // 13561255518721

答案3

得分: 0

使用 long 替代 int

public class Main{
    public static void main(String[] args) {
        long x = 1919;
        long y = x*x*x*x;
        System.out.println(y);
    }
}

阅读关于 Java 中的变量的内容。

英文:

Use long instead of int

public class Main{
    public static void main(String[] args) {
        long x = 1919;
        long y = x*x*x*x;
        System.out.println(y);
    }
}

Read about variables in Java.

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  • 本文由 发表于 2020年10月25日 17:31:35
  • 转载请务必保留本文链接:https://go.coder-hub.com/64522210.html
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