怎么计算21! (21阶乘)迅速? [英] How to calculate the 21! (21 factorial) in swift?
问题描述
我正在迅速地计算出阶乘的函数.像这样
I am making fuction that calculate factorial in swift. like this
func factorial(factorialNumber: UInt64) -> UInt64 {
if factorialNumber == 0 {
return 1
} else {
return factorialNumber * factorial(factorialNumber - 1)
}
}
let x = factorial(20)
这个函数可以计算到20.
this fuction can calculate untill 20.
我认为阶乘(21)的值大于UINT64_MAX.
I think factorial(21) value bigger than UINT64_MAX.
然后如何计算21! (21阶乘)迅速?
then How to calculate the 21! (21 factorial) in swift?
推荐答案
无符号64位整数的最大值为18,446,744,073,709,551,615.虽然21! = 51,090,942,171,709,440,000.对于这种情况,您需要一个Big Integer类型.我在Swift中发现了一个关于Big Integer的问题.该链接中有一个用于Big Integer的库.
Unsigned 64 bit integer has a maximum value of 18,446,744,073,709,551,615. While 21! = 51,090,942,171,709,440,000. For this kind of case, you need a Big Integer type. I found a question about Big Integer in Swift. There's a library for Big Integer in that link.
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