desi lydic,孙凯南,武汉理工大学研究生复试分数线
n! means n × (n − 1) × ... × 3 × 2 × 1For example, 10! = 10 × 9 × ... × 3 × 2 × 1 = 3628800,
and the sum of the digits in the number 10! is 3 + 6 + 2 + 8 + 8 + 0 + 0 = 27.
Find the sum of the digits in the number 100! 标签: <无>
代码片段(1) [全屏查看所有代码]
1. [代码][JavaScript]代码 跳至 [1] [全屏预览]
<html> <head> </head> <body style="text-align=center;font-size:32px;"> <table align="center"> <tr><td><div id="problemNum" style='background-color:#999999;width:800;text-align:center;font-size:32px;'></div></td></tr> <tr><td><div id="problemContent" style='word-wrap:break-word;background-color:#bbbbbb;width:800;text-align:left;font-size:Npx;'></div></td></tr> <tr><td><div id="sum" style='word-wrap:break-word; color:#ffff22;font-size:48;background-color:#8855ff;width:800;text-align:center;'></div></td></tr> <tr><td><div id="copyleft" style='word-wrap:break-word; color:#ffff22;font-size:18;background-color:#666666;width:800;text-align:right;'></div></td></tr> <script language="javascript"> //---------------------------------// // Project Euler // // Author:thrombin // Date:2015-12-19 //---------------------------------// var p_order=20;//Problem Order var problem='n! means n x (n - 1) x ... x 3 x 2 x 1<br/>\ For example, 10! = 10 x 9 x ... x 3 x 2 x 1 = 3628800,<br/>\ and the sum of the digits in the number 10! is 3 + 6 + 2 + 8 + 8 + 0 + 0 = 27.<br/>\ Find the sum of the digits in the number 100!'; //solve the problem //==============编程思路简介================ // 用数组存储n的阶乘的每一位, // 通过动态规划来逐步求100的阶乘 //========================================= var fact=[4,2]; for(var n=5;n<101;n++){ var jin_wei=0; for(var j=0;j<fact.length;j++){ var tmp=fact[j]*n+jin_wei; fact[j]=tmp%10; jin_wei=parseInt(tmp/10); } while(jin_wei>0){ fact.push(jin_wei%10); jin_wei=parseInt(jin_wei/10); } } var sum=0;//存储100!的所有数字之和 for(var i=0;i<fact.length;i++)sum+=fact[i]; //update browser document.getElementById("problemNum").innerHTML="Project Euler-Problem "+p_order; document.getElementById("problemContent").innerHTML=problem; document.getElementById("sum").innerHTML="Answer:"+sum; document.getElementById("copyleft").innerHTML="CopyLeft@Thrombin 2015"; </script> </body> </html>
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