java.util.stream.Stream interface has two versions of sorted method – sorted() which sorts elements in natural order and sorted(
I think min() only allows the signature that accepts a Comparator because the Stream could be of any type, even a type created by you. In such case it would be impossible to rely on a natural order, as the class you've created, can't have a natural order until you specify it.
If, insteam of the class Stream you use, IntStream, you'll see that a min() method with no arguments is defined. This does what you want. It is the following:
public static void main (String... args){
IntStream s=IntStream.of(1,2,3,4,5,6,7,8,9,10);
System.out.println(s.min().getAsInt());
}