羅馬數(shù)字真的很神奇

Examples: They wrote V instead of 5
And wrote IX instead of 9

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首先，了解羅馬數(shù)字

• 阿拉伯?dāng)?shù)字

羅馬數(shù)字

1	I
10	X
50	L
100	C
500	D
1000	M

其次，羅馬數(shù)字的表示方法中的規(guī)則

1、
When a symbol appears after a larger symbol it is added
當(dāng)一個(gè)符號(hào)左邊大于右邊時(shí)，兩個(gè)符號(hào)相加表示數(shù)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，當(dāng)符號(hào)左邊小于右邊時(shí)，右邊符號(hào)減去左邊表示數(shù)值大小(10以內(nèi))
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)
不要將一個(gè)符號(hào)使用超過(guò)三次，在鐘的表示里面例外

解題思路

第一步：將阿拉伯?dāng)?shù)字拆分開來(lái)，可以通過(guò)toString()方法(法二)，也可以通過(guò)下面的先取余后除的方法，按照數(shù)字從高位到低位的方法逐個(gè)將各位的數(shù)字獲取出*（法一）*
第二步：構(gòu)建一個(gè)二維數(shù)組，將各個(gè)位數(shù)可能出現(xiàn)的數(shù)值大小表示出來(lái)
第三步：將大象放進(jìn)去
第四步：關(guān)上門

Javascript代碼（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代碼（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]];//竟然忘了數(shù)組怎么用，卡了半天，真的難受233alert(b);arr.push(b);}b = arr.join("");return b;}convert(36);

結(jié)語(yǔ)

真的還是要多練習(xí)，這么一個(gè)不是很復(fù)雜的題目看了將近三個(gè)小時(shí)，很難受香菇哈哈哈

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