罗马数字真的很神奇
Examples: They wrote V instead of 5
And wrote IX instead of 9
首先,了解罗马数字
| 罗马数字 |
---|---|
1 | I |
10 | X |
50 | L |
100 | C |
500 | D |
1000 | M |
其次,罗马数字的表示方法中的规则
1、
When a symbol appears after a larger symbol it is added
当一个符号左边大于右边时,两个符号相加表示数值大小
Example: VI = V + I = 5 + 1 = 6
2、
But if the symbol appears before a larger symbol it is subtracted
但是,当符号左边小于右边时,右边符号减去左边表示数值大小(10以内)
Example: IX = X - I = 10 - 1 = 9
3、
Don’t use the same symbol more than three times in a row (but IIII is sometimes used for 4, particularly on clocks)
不要将一个符号使用超过三次,在钟的表示里面例外
解题思路
第一步:将阿拉伯数字拆分开来,可以通过toString()方法(法二),也可以通过下面的先取余后除的方法,按照数字从高位到低位的方法逐个将各位的数字获取出*(法一)*
第二步:构建一个二维数组,将各个位数可能出现的数值大小表示出来
第三步:将大象放进去
第四步:关上门
Javascript代码(法一)
function convert(num){
if(isNaN(num)) return num;
var a=[["","I","II","III","IV","V","VI","VII","VIII","IX"],
["","X","XX","XXX","XL","L","LX","LXX","LXXX","XC"],
["","C","CC","CCC","CD","D","DC","DCC","DCCC","CM"],["","M","MM","MMM"]];
var roman = "";
var t=0;
for(var m = 0, i = 10000; m < 4; m++,i /= 10){
t=Math.floor((num%i)/(i/10));
roman += a[3-m][t];
}
return roman;
}
convert(36);
Javascript代码(法二)
function convert(num){
if(isNaN(num)) return num;
var a=[["","I","II","III","IV","V","VI","VII","VIII","IX"],
["","X","XX","XXX","XL","L","LX","LXX","LXXX","XC"],
["","C","CC","CCC","CD","D","DC","DCC","DCCC","CM"],["","M","MM","MMM"]];
var s = num.toString();
var arr = [];
var b = 0;
for(var m = 0; m < s.length; m++){
b=a[((s.length)-(m+1))][s[m]];//竟然忘了数组怎么用,卡了半天,真的难受233
alert(b);
arr.push(b);
}
b = arr.join("");
return b;
}
convert(36);
结语
真的还是要多练习,这么一个不是很复杂的题目看了将近三个小时,很难受香菇哈哈哈