Test to output only non-repeated elements in a repeating list?

Questions
1

I have a Nested List that returns a list of numbers which sometimes (but not always) begin to repeat. Here is an example of an instance where the numbers begin repeating :

In[3]:= NestList [ love[#, 37, 42] &, 1, 42 ]
Out[3]= {1, 37, 16, 18, 10, 1, 37, 16, 18, 10, 1, 37, 16, 18, 10, 1, 37, 16, 18, 10, 1, 37, 16, 18, 10, 1, 37, 16, 18, 10, 1, 37, 16, 18, 10, 1, 37, 16, 18, 10, 1, 37, 16}

Here, the numbers 1, 37, 16, 18, 10 begin to repeat. I need to run the NestList a full 42 times, because sometimes it returns all unique numbers. But in the cases where numbers repeat, I want to take only the unrepeated numbers and the first repeated number, then stop. For instance, in the example above, I want {1, 37, 16, 18, 10, 1} as my output. My Question: Is there a simple test I can run or some other means to achieve this?
      Also relevant: i do not know how long the repeated sequence will be until execute the input.

Thank you! Please forgive me if it is a very simple fix.

2 
In[1]:= v = {1, 37, 16, 18, 10, 1, 37, 16, 18, 10, 1, 37, 16, 18, 10, 1, 37, 16, 18, 10,
   1, 37, 16, 18, 10, 1, 37, 16, 18, 10, 1, 37, 16, 18, 10, 1, 37, 16, 18, 10, 1, 37, 16};
   nonRepeated[v_] := Module[{i = 1},
      While[Drop[v, i] != Drop[v, -i] && i < Length[v], i++];
      If[i < Length[v], Take[v, i + 1], v]
   ];

In[3]:= nonRepeated[v]

Out[3]= {1, 37, 16, 18, 10, 1}

In[4]:= nonRepeated[{1, 2, 3, 4, 5}]

Out[4]= {1, 2, 3, 4, 5}

But this depends on the repetitions beginning with the first item in your list.
Test this carefully with all kinds of lists before you depend on it.

3

Thank you Bill. Works great.