递归实现阶乘

王朝学院·作者佚名  2016-08-27
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如果想实现一个阶乘,比如6 * 5 * 4 * 3 * 2 * 1,首先想到的可能是循环遍历。如下:

classPRogram

{

staticvoidMain(string[] args)

{

Console.WriteLine("请输入一个数");

intnumber = Convert.ToInt32(Console.ReadLine());

doubleresult = JieCheng(number);

Console.WriteLine(number.ToString() +"的阶乘结果是:"+ result.ToString());

Console.ReadKey();

}

publicstaticdoubleJieCheng(intnumber)

{

if(number == 0)

{

return0;

}

//初始值必须设置为1

doubleresult = 1;

for(inti = number; i >= 1; i--)

{

result = result*i;

}

returnresult;

}

}

.csharpcode, .csharpcode pre

{

font-size: small;

color: black;

font-family: consolas, "Courier New", courier, monospace;

background-color: #ffffff;

/*white-space: pre;*/

}

.csharpcode pre { margin: 0em; }

.csharpcode .rem { color: #008000; }

.csharpcode .kwrd { color: #0000ff; }

.csharpcode .str { color: #006080; }

.csharpcode .op { color: #0000c0; }

.csharpcode .preproc { color: #cc6633; }

.csharpcode .asp{ background-color: #ffff00; }

.csharpcode .html { color: #800000; }

.csharpcode .attr { color: #ff0000; }

.csharpcode .alt

{

background-color: #f4f4f4;

width: 100%;

margin: 0em;

}

.csharpcode .lnum { color: #606060; }

但以上的阶乘还有一种实现方式:6 * (6-1) * (6-2) * (6-3) * (6-4) * (6-5) 或 6 * (6-1) * (5-1) * (4-1) * (3-1) * (2-1),也就是说后面数总是由前面的数减1得到的。

当实现的逻辑相同,且内部递归方法的参数可以由外部递归方法的参数,经过某种算法而获得,这正是递归登场的时候。

publicstaticdoubleJieCheng(intnumber)

{if(number == 0)

{return1;

}returnnumber * JieCheng(number - 1);

}

.csharpcode, .csharpcode pre

{

font-size: small;

color: black;

font-family: consolas, "Courier New", courier, monospace;

background-color: #ffffff;

/*white-space: pre;*/

}

.csharpcode pre { margin: 0em; }

.csharpcode .rem { color: #008000; }

.csharpcode .kwrd { color: #0000ff; }

.csharpcode .str { color: #006080; }

.csharpcode .op { color: #0000c0; }

.csharpcode .preproc { color: #cc6633; }

.csharpcode .asp { background-color: #ffff00; }

.csharpcode .html { color: #800000; }

.csharpcode .attr { color: #ff0000; }

.csharpcode .alt

{

background-color: #f4f4f4;

width: 100%;

margin: 0em;

}

.csharpcode .lnum { color: #606060; }

 
 
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