A. For any natural number n, find the pair of natural numbers a and b such that a+b=n, and LCM(a, b) is the largest possible.
B. For any natural number n, find the set of natural numbers a1, a2, … such that a1+a2+… = n, and the LCM(a1, a2,…) is the largest possible.
C. For any natural number n, find the pair of natural numbers a and b such that a+b=n, and a×b is the largest possible. (solved)
D. For any natural number n, find the set of natural numbers a1, a2, … such that a1+a2+… = n, and a1×a2×… is the largest possible.