You can use Linq in case you are using .NET 3.5 or later:
test = test.Where(x => !string.IsNullOrEmpty(x)).ToArray();
If you can't use Linq then you can do it like this:
var temp = new List<string>();
foreach (var s in test)
{
if (!string.IsNullOrEmpty(s))
temp.Add(s);
}
test = temp.ToArray();