What is the problem? You never mention what kind of results being generated or what the front-end html code looks like.
The js looks compilable, but here are some pointers.
The number 0 is before 1
It's a good habit to get in this mind set, plus it might save you from making stupid mistakes later on. Anyway, just to reinforce this, below is a number chart.
0 10
1 11
2 12
3 13
4 14
5 15
6 16
7 17
8 18
9 19
Avoid unnecessary variables
Having a js compiler that optimizes redundant code is sadly new feature. But still, why have two lines to maintain when you can have one.
var nums = [];
for( var i = 0; i < 18; i++ ) {
nums[i] = parseInt( document.getElementById("spin" + i).value );
}
Don't push, insert
The push method has an expensive overhead so use it with caution.
Loggers
The console has a built in logger, why not use that instead of an alert box?
console.log( nums.length );
var num[i]doesn't work. You can't create an array that way. Dovar num = parseInt(...); nums.push(num);