是否存在a1,a2,...,a100a_1,a_2,...,a_{100}a1,a2,...,a100这100个不同的正整数,使得lcm(a1,a2,...,a100)=a1+a2+...+a100lcm(a_1,a_2,...,a_{100}) = a_1 + a_2 + ... + a_{100}lcm(a1,a2,...,a100)=a1+a2+...+a100?