已知正整数a1,a2,a3,……,a11,满足a1+a2+a3+……+a11=a1a2a3……a11.求所有这样的a1,a2,a3 ,……,a11的和a1+a2+a3 +……+a11的最大值.并说明理由.
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![已知正整数a1,a2,a3,……,a11,满足a1+a2+a3+……+a11=a1a2a3……a11.求所有这样的a1,a2,a3 ,……,a11的和a1+a2+a3 +……+a11的最大值.并说明理由.](/uploads/image/z/7837478-62-8.jpg?t=%E5%B7%B2%E7%9F%A5%E6%AD%A3%E6%95%B4%E6%95%B0a1%2Ca2%2Ca3%2C%E2%80%A6%E2%80%A6%2Ca11%2C%E6%BB%A1%E8%B6%B3a1%2Ba2%2Ba3%2B%E2%80%A6%E2%80%A6%2Ba11%3Da1a2a3%E2%80%A6%E2%80%A6a11.%E6%B1%82%E6%89%80%E6%9C%89%E8%BF%99%E6%A0%B7%E7%9A%84a1%2Ca2%2Ca3+%2C%E2%80%A6%E2%80%A6%2Ca11%E7%9A%84%E5%92%8Ca1%2Ba2%2Ba3+%2B%E2%80%A6%E2%80%A6%2Ba11%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC.%E5%B9%B6%E8%AF%B4%E6%98%8E%E7%90%86%E7%94%B1.)
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