[js] 最小公倍数、化简分数、最大公约数

#化简分数

            function purify(list) {
                var x, y;
                var temp = [];
                for (var i = 0; i < list.length; i++) {
                    var son = list[i][0],
                        mother = list[i][1];
                    var j = 2;
                    while (j <= son && j <= mother) {
                        x = son / j;
                        y = mother / j;
                        ++j;
                        if ((x + '').indexOf('.') == -1 && (y + '').indexOf('.') == -1) {
                            son = x;
                            mother = y;
                            j = 2;
                        }
                        console.log(x, y);
                    }
                    temp.push([son, mother]);
                }
                return temp;
            }


            var list = [
                [2, 4],
                [3, 9],
                [4, 16]
            ]

 

#最小公倍数

            function convertFrac(lst) {
                var lowest = lst[0][1];
                var status = true;
                for (var i = 0; i < lst.length - 1; i++) {
                    for (var j = 2; j <= lowest && j <= lst[i + 1][1]; j++) {
                        if (lowest % j == 0 && lst[i + 1][1] % j == 0) {
                            lowest = lowest * lst[i + 1][1] / j;
                            status = false;
                            break;
                        }
                    }
                    if (status) {
                        lowest = lowest * lst[i + 1][1];
                    }
                }
                var str = '';
                lst.forEach(function(v) {
                    str += '(' + v[0] * lowest / v[1] + ',' + lowest + ')';
                })
                return str;
            }


            var lst = [
                [1, 2],
                [1, 3],
                [1, 4]
            ]

 

 

#

    function convertFrac(lst) {
        let LCM = lst.reduce((v1, v2) => {
            return LeastCommonMultiple(v1, v2[1]);
        }, 1)
        let result = '';
        lst.forEach((v) => {
            let temp = LCM / v[1];
            result += `(${v[0] * temp},${LCM})`;
        });
        return result;
    }
    function GreatestCommonDivisor(m, n) {
        let bigger, smaller, remainder;
        if (m > n) {
            bigger = m;
            smaller = n;
        } else if (m < n) {
            bigger = n;
            smaller = m;
        } else {
            return m;
        }
        while (remainder = bigger % smaller) {
            bigger = smaller;
            smaller = remainder;
        }
        return smaller;
    }
    function LeastCommonMultiple(m, n) {
        return m * n / GreatestCommonDivisor(m, n);
    }