本方法的思路为：
一：检查了输入的合法性（非空，无非法字符）
二：检查输入是否可以进行简单计算（一个数为 0，1，+1，-1）
三：去掉输入最前面可能有的正负符号，并判断输出的正负
四：将输入的值分成4位一截（分的长度太短，性能太差，长度太长，精度容易降低）
五：遍历相乘得到最终数组（这里用了递归）
六：遍历最终数组，拼接最终的数（不建议用join,因为数组中的元素可能小于四位，拼接时会丢失0）
七：将正负符号与最终的数拼接输出
代码如下：
<!DOCTYPE html> <html> <head> <title></title> <script type="text/javascript"> var num1 = ""; var num2 = ""; var finallyArr; /* * 有两个用字符表示的非常大的大整数，算出他们的乘积，也是用字符串表示，不能用系统自带的大整数类型。 * 输入例子72106547548473106236 982161082972751393 * 输出例子70820244829634538040848656466105986748 70820244829634538040848656466105986748 */ function getResult(){ finallyArr = new Array(); num1 = document.getElementById("num1").value; num2 = document.getElementById("num2").value; if(!checkNum(num1)){ alert("输入:num1 不合法！"); return; } if(!checkNum(num2)){ alert("输入:num2 不合法！"); return; } //特殊情况的简单算法 if(doSimpleWay()){ return; } //获取最终值的正负符号 var symbol = initSymbol(); //将输入的值分成4位一小截的数组 var numArr1 = getNumArr(num1,new Array()); var numArr2 = getNumArr(num2,new Array()); //遍历相乘相加得到最终的数组 for(var i = 0; i < numArr1.length; i++){ for(var j = 0; j < numArr2.length; j++){ updateFinallyArr(i + j , numArr1[i] * numArr2[j]); } } //倒序遍历数组获取最终结果 var resultStr = finallyArr.pop(); for(var i = finallyArr.length; i >= 0; i--){ if(finallyArr[i] >= 1000){ resultStr += "" + finallyArr[i]; }else if(finallyArr[i] < 1000){ resultStr += "0" + finallyArr[i]; }else if(finallyArr[i] < 100){ resultStr += "00" + finallyArr[i]; }else if(finallyArr[i] < 10){ resultStr += "000" + finallyArr[i]; }else if(finallyArr[i] == 0){ resultStr += "0000"; } } document.getElementById("RESULT").innerText = symbol + resultStr; } /** * 根据数值以及数值的位置更新最终的数组 */ function updateFinallyArr(i , num){ var old = finallyArr[i]; if(old){ num = num + old; } if(num > 9999){ finallyArr[i] = num % 10000; updateFinallyArr(i + 1 , Math.floor(num/10000) ); }else{ finallyArr[i] = num; } } /** * 处理输入字符串的正负号，并判断最终值的正负号 */ function initSymbol(){ if(num1.substring(0,1) == "-"){ num1 = num1.substring(1,num1.length); if(num2.substring(0,1) == "-"){ num2 = num2.substring(1,num2.length); }else if(num2.substring(0,1) == "+"){ num2 = num2.substring(1,num2.length); return "-"; }else{ return "-"; } }else if(num1.substring(0,1) == "+"){ num1 = num1.substring(1,num1.length); if(num2.substring(0,1) == "-"){ num2 = num2.substring(1,num2.length); return "-"; }else if(num2.substring(0,1) == "+"){ num2 = num2.substring(1,num2.length); } } return ""; } /** * 特殊情况的简单算法 */ function doSimpleWay(){ if(num1 == "0" || num2 == "0"){ document.getElementById("RESULT").innerText = "0"; return true; }else if(num1 == "1" || num1 == "+1"){ document.getElementById("RESULT").innerText = num2; return true; }else if(num2 == "1" || num2 == "+1"){ document.getElementById("RESULT").innerText = num1; return true; }else if(num1 == "-1"){ if(num2.substring(0,1) == "-" ){ document.getElementById("RESULT").innerText = num2.substring(1,num2.length); }else if(num2.substring(0,1) == "+" ){ document.getElementById("RESULT").innerText = "-" + num2.substring(1,num2.length); }else{ document.getElementById("RESULT").innerText = "-" + num2; } return true; }else if(num2 == "-1"){ if(num1.substring(0,1) == "-" ){ document.getElementById("RESULT").innerText = num1.substring(1,num1.length); }else if(num1.substring(0,1) == "+" ){ document.getElementById("RESULT").innerText = "-" + num1.substring(1,num1.length); }else{ document.getElementById("RESULT").innerText = "-" + num1; } return true; } return false; } /** * 获取4位一小截的数组 */ function getNumArr(num,arr){ var len = num.length; if(len > 4){ arr.push(num.substring(len-4,len) * 1); num = num.substring(0,len-4); return getNumArr(num,arr); }else{ arr.push(num * 1); return arr; } } /** * 检查输入数字的正确性，非空、无不合法字符 */ function checkNum(num){ if(!num){ return false; } var str = num.replace(/[0-9]/g,""); if(str == "" || (str == "-" && num.substring(0,1) =="-" && num.length > 1) || (str == "+" && num.substring(0,1) =="+" && num.length > 1) ){ if(num.length > 1000){ return false; } return true; }else{ return false; } } </script> </head> <body> num1:<input type="text" id="num1" name=""
value="7210654754847310623672106547548473106236721065475484731062367210654754847310623672106547548473106236" style="80%"></br> num2:<input type="text" id="num2" name=""
value="9821610829727513939821610829727513939821610829727513939821610829727513939821610829727513939821610829" style="80%"></br> <input type="button" id="num2" value="计算" onclick="getResult()"></br> <textarea id = "RESULT" rows="5" style="80%"></textarea> </body> </html>