16. On the desktop, there are five types of number cards: $1, 3, 5, 7, 9$, with 30 cards of each type. We need to take out at least ( ) number cards to ensure that the sum of the numbers on the cards can be $1, 2, 3 \ldots, 200$ in 200 different cases.
【Analysis】To make the sum $1$ or $2$, at least 2 cards of 1 are needed. To make the sum 3, at this point, 1 card of 1 or 3 can be taken. To take as few cards as possible, taking 1 card of 3 is better, which also satisfies the cases of sums $4$ and $5$. Considering the sum of 6, at this point, 1 card of 1, 3, or 5 can be taken. To take as few cards as possible, taking 1 card of 5 is better, which also satisfies the cases of sums $6$, $7$, $8$, $9$, and $10$. Since 1 to 8 are already satisfied, taking 1 card of 9 next can satisfy the next consecutive 9 sums, i.e., taking 9 is sufficient from now on. Therefore, as long as the total sum of all cards reaches 200 or more, $(200-10) \div 9=21 \cdots 1$, so at least 22 cards are needed. Therefore, a total of 26 cards are taken.