redefine uint type c++

In c++ when I try to compile the following code I get a conflicting declaration error:

typedef uint_least64_t uint;

I assume that conflicting declaration error is because a type declaration for uint already exists somewhere in the language, and I believe that the type is uint_least32_t because:

uint i = -1;
std::cout << i << std::endl;

returns an integer value that is (2^32)-1. Therefore is it possible in c++ to redefine uint as uint_least64_t.