03-MinCoinChangeDP.js

function MinCoinChange(coins){

    var coins = coins;

    var cache = {};

    this.makeChange = function(amount) {
        var me = this;
        if (!amount) {
            return [];
        }
        if (cache[amount]) {
            return cache[amount];
        }
        var min = [], newMin, newAmount;
        for (var i=0; i<coins.length; i++){
            var coin = coins[i];
            newAmount = amount - coin;
            if (newAmount >= 0){
                newMin = me.makeChange(newAmount);
            }
            if (
                newAmount >= 0 &&
                (newMin.length < min.length-1 || !min.length) &&
                (newMin.length || !newAmount)
                ){
                min = [coin].concat(newMin);
                console.log('new Min ' + min + ' for ' + amount);
            }
        }
        return (cache[amount] = min);
    };
}


var minCoinChange = new MinCoinChange([1, 5, 10, 25]);
console.log(minCoinChange.makeChange(36));

var minCoinChange2 = new MinCoinChange([1, 3, 4]);
console.log(minCoinChange2.makeChange(6));