Question

我使用以下代码来确定两个或三个数字的GCD：

$('#calc').click(function(){

Math.GCD = function(numbers) {
  for (var i = 1 ; i < numbers.length ; i++){
    if (numbers[i] || numbers[i] === 0)
      numbers[0] = twogcd(numbers[0], numbers[i]);
  }
  return numbers[0];

  function twogcd(first, second) {
    if (first < 0) first = -first;
    if (second < 0) second = -second;
    if (second > first) {var temp = first; first = second; second = temp;}
    while (true) {
        first %= second;
        if (first == 0) return second;
        second %= first;
        if (second == 0) return first;
    }
   }
};

Math.LCM = function(first,second) {
    return first * (second / this.GCD(first, second)); // CANNOT FIGURE OUT HOW TO EXTEND THIS TO THREE #s
};

var first   = document.getElementById("first").value;
var second   = document.getElementById("second").value;
var third = document.getElementById("third").value;

var numbers = [first,second,third];

var GCDresult = Math.GCD(numbers);


alert(GCDresult);
});

注意那里关于LCM的功能。

这是我的HTML：

<FORM NAME="sci-calc" method="POST" id="sci-calc">

<button TYPE="button" ID="calc">CALC</button>
<input type="text" name="stuff[]" class="input-field" id="first"/>
<input type="text" name="stuff[]" class="input-field" id="second"/>
<input type="text" name="stuff[]" class="input-field" id="third"/>

</FORM>

小提琴：https://jsfiddle.net/59z28rpk/

我正在尝试扩展此功能，以便它可以计算相同的两个或三个用户提供的输入的LCM，但我不能为我的生活做得对。我是JavaScript的新手，非常感谢任何帮助。请注意，如果一个字段留空，它也应该从计算中省略，就像对GCD一样。

Answer 1

我还没弄清楚你的代码在做什么，但这里有找到LCM的功能：

LCM = function(numbers) {
  console.log(numbers)  
  if (numbers.length < 2) return
  first = numbers[0]
  second = numbers[1]
  var i = j = 1
  var mult1 = first * i++
  var mult2 = second * j++
  while (mult1 != mult2) {
    if (mult1 < mult2)
        mult1 = first * i++
    else
        mult2 = second * j++
  }
  if (numbers.length > 2) {
    numbers[1] = mult1 //I hope you're fine with the fact that 'numbers' gets modified
    mult1 = LCM(numbers.splice(1, numbers.length-1))
  }
    return mult1
}

我知道它没有效率，但它说明了如何将它与任意数量的参数一起使用的想法（它只是递归地调用）。

小提琴：https://jsfiddle.net/grabantot/fr0gzogL/

Answer 2

您可以使用以下功能：

function gcd2(a, b) {
  // Greatest common divisor of 2 integers
  if(!b) return b===0 ? a : NaN;
  return gcd2(b, a%b);
}
function gcd(array) {
  // Greatest common divisor of a list of integers
  var n = 0;
  for(var i=0; i<array.length; ++i)
    n = gcd2(array[i], n);
  return n;
}
function lcm2(a, b) {
  // Least common multiple of 2 integers
  return a*b / gcd2(a, b);
}
function lcm(array) {
  // Least common multiple of a list of integers
  var n = 1;
  for(var i=0; i<array.length; ++i)
    n = lcm2(array[i], n);
  return n;
}

Answer 3

也许您为GCD和LCM更改了一点结构，因此两个方法只有两个参数。

要获取两个以上参数的结果，请使用Array.prototype.reduce()，它从数组中获取两个元素并返回一个结果，该结果将用作新插入，直到数组完成。

虽然LCM和GCD为associative，但您可以根据需要对其进行链接。

Math.GCD = function twogcd(first, second) {
    if (first < 0) first = -first;
    if (second < 0) second = -second;
    if (second > first) { var temp = first; first = second; second = temp; }
    while (true) {
        first %= second;
        if (first == 0) return second;
        second %= first;
        if (second == 0) return first;
    }
};

Math.LCM = function (first, second) {
    return first * (second / Math.GCD(first, second));
};

document.getElementById('calc').addEventListener('click', function (e) {
    var first = +document.getElementById("first").value,
        second = +document.getElementById("second").value,
        third = +document.getElementById("third").value,
        numbers = [first, second, third],
        resultGCD = numbers.reduce(Math.GCD), // just chain it together
        resultLCM = numbers.reduce(Math.LCM); // just chain it together

    document.getElementById('gcd').innerHTML = resultGCD;
    document.getElementById('lcm').innerHTML = resultLCM;
});

GCD: <span id="gcd"></span><br />
LCM: <span id="lcm"></span><br />
<form name="sci-calc" method="POST" id="sci-calc">
    <input type="text" name="stuff[]" class="input-field" id="first" /><br />
    <input type="text" name="stuff[]" class="input-field" id="second" /><br />
    <input type="text" name="stuff[]" class="input-field" id="third" /><br />
    <button type="button" id="calc">CALC</button>
</form>

在JavaScript中计算两个或三个数字的LCM

3 个答案: