BigInteger.GreatestCommonDivisor(BigInteger, BigInteger) 方法

定义

命名空间:

System.Numerics

程序集:

System.Runtime.Numerics.dll

Source:

BigInteger.cs

查找两个 BigInteger 值的最大公约数。

public:
 static System::Numerics::BigInteger GreatestCommonDivisor(System::Numerics::BigInteger left, System::Numerics::BigInteger right);

public static System.Numerics.BigInteger GreatestCommonDivisor (System.Numerics.BigInteger left, System.Numerics.BigInteger right);

static member GreatestCommonDivisor : System.Numerics.BigInteger * System.Numerics.BigInteger -> System.Numerics.BigInteger

Public Shared Function GreatestCommonDivisor (left As BigInteger, right As BigInteger) As BigInteger

参数

left

BigInteger

第一个值。

right

BigInteger

第二个值。

返回

BigInteger

left 和 right 的最大公约数。

示例

下面的示例演示了对 GreatestCommonDivisor 方法的调用，以及提供有关 ArgumentOutOfRangeException的有用信息所需的异常处理。 结果指示这两个数字的最大共除数为 1。

BigInteger n1 = BigInteger.Pow(154382190, 3);
BigInteger n2 = BigInteger.Multiply(1643590, 166935);
try
{
   Console.WriteLine("The greatest common divisor of {0} and {1} is {2}.",
                     n1, n2, BigInteger.GreatestCommonDivisor(n1, n2));
}
catch (ArgumentOutOfRangeException e)
{
   Console.WriteLine("Unable to calculate the greatest common divisor:");
   Console.WriteLine("   {0} is an invalid value for {1}",
                     e.ActualValue, e.ParamName);
}

let n1 = BigInteger.Pow(154382190, 3)
let n2 = BigInteger.Multiply(1643590, 166935)

try
    printfn $"The greatest common divisor of {n1} and {n2} is {BigInteger.GreatestCommonDivisor(n1, n2)}."
with :? ArgumentOutOfRangeException as e ->
    printfn $"Unable to calculate the greatest common divisor:"
    printfn $"   {e.ActualValue} is an invalid value for {e.ParamName}"

Dim n1 As BigInteger = BigInteger.Pow(154382190, 3)
Dim n2 As BigInteger = BigInteger.Multiply(1643590, 166935)
Try
   Console.WriteLine("The greatest common divisor of {0} and {1} is {2}.", _
                     n1, n2, BigInteger.GreatestCommonDivisor(n1, n2))
Catch e As ArgumentOutOfRangeException
   Console.WriteLine("Unable to calculate the greatest common divisor:")
   Console.WriteLine("   {0} is an invalid value for {1}", _
                     e.ActualValue, e.ParamName)
End Try

注解

最大的共除数是可以将两 BigInteger 个值相除而不返回余数的最大数字。

left如果 和 right 参数是非零数字，则该方法始终至少返回值 1，因为所有数字都可以除以 1。 如果任一参数为零，该方法将返回非零参数的绝对值。 如果两个值均为零，则该方法返回零。

注意

计算 和 值leftright的最大常见除数可能是一项非常耗时的操作。

无论 和 right 参数的符号left如何，GreatestCommonDivisor方法返回的值始终为正。