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PHP求最大子序列和的算法实现

Jun 21, 2016 am 08:54 AM
arr echo start

复制代码 代码如下:


//作者:遥远的期待
//QQ:15624575
//算法分析:1、必须是整数序列、2、如果整个序列不全是负数,最大子序列的第一项必须是正数,否则最大子序列后面的数加起来再加上第一项的负数,其和肯定不是最大的;3、如果整个序列都是负数,那么最大子序列的和是0;
//全负数序列很简单,不举例
$arr=array(4,-3,5,-2,-1,2,6,-2);
function getmaxsum($arr){
$thissum=0;
$maxsum=0;
$start=0;//记录子序列的起始下标
$end=0;//记录子序列的结束下标
for($i=0;$i$thissum+=$arr[$i];//取得当前子序列的和
if($thissum>$maxsum){//如果当前子序列的和大于当前最大子序列的和
$maxsum=$thissum;//改变当前最大子序列的和
$end=$i;
}else if($thissum$thissum=0;//前提这个序列不全是负数
$start=$i+1;
}
}
$parr=array($start,$end,$maxsum);
return $parr;
}
list($start,$end,$maxsum)=getmaxsum($arr);
echo '最大子序列是:';
for($i=$start;$iecho $arr[$i].' ';
}
echo '
';
echo '最大子序列的和是'.$maxsum;
?>



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