珀尔 |数学::BigInt->bfac() 方法

珀尔 |数学::BigInt->bfac() 方法

Perl 中的Math::BigInt模块提供了表示具有任意精度和重载算术运算运算符的整数的对象。

Math::BigInt模块的bfac()方法用于计算存储为BigInt对象的数字的阶乘。

Syntax: Math::BigInt->bfac()

Parameter: None

Returns: a normalised BigInt object whose value represents the factorial of the given number.

示例 1：使用Math::BigInt->bfac()方法

#!/usr/bin/perl 
  
# Import Math::BigInt module
use Math::BigInt;
  
$num = 5;
  
# Calculate the factorial of
# the above specified number
  
# Create a BigInt object
$x = Math::BigInt->new($num);
  
# Use Math::BigInt->bfac() method
# to calculate factorial
$factorial = $x->bfac();
  
print "Factorial of $num : $factorial\n";
  
  
$num = 10;
  
# Calculate the factorial of
# the above specified number
  
# Create a BigInt object
$x = Math::BigInt->new($num);
  
# Use Math::BigInt->bfac() method
# to calculate factorial
$factorial = $x->bfac();
  
print "Factorial of $num : $factorial\n";

输出：

Factorial of 5 : 120
Factorial of 10 : 3628800

示例 2：使用Math::BigInt->digit()方法计算大数阶乘中的位数

#!/usr/bin/perl 
  
# Import Math::BigInt module
use Math::BigInt;
  
$num = 100;
  
# Calculate the factorial of
# the above specified number
  
# Create a BigInt object
$x = Math::BigInt->new($num);
  
# Use Math::BigInt->bfac() method
# to calculate factorial
$factorial = $x->bfac();
  
# Print the factorial
print "Factorial of $num : $factorial \n";
  
# Print count of digits in factorial
$count = $factorial->length();
print "Count of digits in factorial : $count";

输出：

factorial of 100 : 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000 
Count of digits in factorial : 158

示例 3：使用Math::BigInt->digit()方法计算 nCr 的值。

#!/usr/bin/perl 
  
# Import Math::BigInt module
use Math::BigInt;
  
# Value of n
$n = 5;
  
# Value of r
$r = 3;
  
  
# Create BigInt objects 
$x = Math::BigInt->new($n);
$y = Math::BigInt->new($r);
$z = Math::BigInt->new($n - $r);
  
  
# calculate nCr using 
# formula n! / (r! * (n-r)!)
$nCr = $x->bfac() / ($y->bfac() * $z->bfac());
  
  
# Print calculated value of nCr
print "Value of ${n}C${r} : $nCr \n";
  
  
# Value of n
$n = 50;
  
# Value of r
$r = 15;
  
  
# Create BigInt objects 
$x = Math::BigInt->new($n);
$y = Math::BigInt->new($r);
$z = Math::BigInt->new($n - $r);
  
  
# calculate nCr using 
# formula n! / (r! * (n-r)!)
$nCr = $x->bfac() / ($y->bfac() * $z->bfac());
  
  
# Print calculated value of nCr
print "Value of ${n}C${r} : $nCr \n";

输出：

Value of 5C3 : 10 
Value of 50C15 : 2250829575120