Java 中的大整数 gcd()方法,带示例
原文:https://www . geesforgeks . org/big integer-gcd-method-in-Java-with-examples/
两个数的 GCD(最大公约数)或 HCF(最高公因数)是两个数相除的最大数。T3 大整数。gcd(BigInteger val) 方法用于计算两个 BigInteger 的 gcd。此方法根据调用此方法的当前大整数和作为参数传递的大整数计算 gcd
语法:
public BigInteger gcd(BigInteger val)
参数:该方法接受参数值,该值是要计算 gcd 的两个数字之一。该数字应为 BigInteger 类型。
返回值:这个方法返回一个大整数,它保存两个大整数的计算 gcd。
下面的程序用来说明 BigInteger 的 gcd()方法。
例 1:
// Java program to demonstrate
// gcd() method of BigInteger
import java.math.BigInteger;
public class GFG {
public static void main(String[] args)
{
// BigInteger object to store the result
BigInteger result;
// For user input
// Use Scanner or BufferedReader
// Two objects of String created
// Holds the values to calculate gcd
String input1 = "54";
String input2 = "42";
// Creating two BigInteger objects
BigInteger a
= new BigInteger(input1);
BigInteger b
= new BigInteger(input2);
// Calculate gcd
result = a.gcd(b);
// Print result
System.out.println("The GCD of "
+ a + " and "
+ b + " is "
+ result);
}
}
输出:
The GCD of 54 and 42 is 6
例 2:
// Java program to demonstrate
// gcd() method of BigInteger
import java.math.BigInteger;
public class GFG {
public static void main(String[] args)
{
// BigInteger object to store result
BigInteger result;
// For user input
// Use Scanner or BufferedReader
// Two objects of String
// Holds the values to calculate gcd
String input1 = "4095484568135646548";
String input2 = "9014548534231345454";
// Creating two BigInteger objects
BigInteger a
= new BigInteger(input1);
BigInteger b
= new BigInteger(input2);
// Calculate gcd
result = a.gcd(b);
// Print result
System.out.println("The GCD of "
+ a + " and "
+ b + " is "
+ result);
}
}
输出:
4095484568135646548 和 9014548534231345454 的 GCD 为 2
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