Abusing the fact that engines return values directly
All engines defined in <random> has an operator()() that can be used to retrieve the next generated value, as well as advancing the internal state of the engine.
std::mt19937 rand (seed); // or an engine of your choosing
for (int i = 0; i < 10; ++i) {
unsigned int x = rand ();
std::cout << x << std::endl;
}
It shall however be noted that all engines return a value of some unsigned integral type, meaning that they can potentially overflow a signed integral (which will then lead to undefined-behavior).
If you are fine with using unsigned values everywhere you retrieve a new value, the above is an easy way to replace usage of std::srand + std::rand.
Note: Using what has been described above might lead to some values having a higher chance of being returned than others, due to the fact that the result_type of the engine not having a max value that is an even multiple of the highest value that can be stored in the destination type.
If you have not worried about this in the past — when using something like rand()%low+high — you should not worry about it now.
Note: You will need to make sure that the std::engine-type::result_type is at least as large as your desired range of values (std::mt19937::result_type is uint_fast32_t).
If you only need to seed the engine once
There is no need to first default-construct a std::default_random_engine (which is just a typedef for some engine chosen by the implementation), and later assigning a seed to it; this could be done all at once by using the appropriate constructor of the random-engine.
std::random-engine-type engine (seed);
If you however need to re-seed the engine, using std::random-engine::seed is the way to do it.
If all else fails; create a helper-function
Even if the code you have posted looks slightly complicated, you are only meant to write it once.
If you find yourself in a situation where you are tempted to just copy+paste what you have written to several places in your code it is recommended, as always when doing copy+pasting; introduce a helper-function.
Intentionally left blank, see other posts for example implementations.